The Experts below are selected from a list of 1680 Experts worldwide ranked by ideXlab platform
Robert G. Parker - One of the best experts on this subject based on the ideXlab platform.
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piece wise linear dynamic analysis of serpentine Belt Drives with a one way clutch
Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 2008Co-Authors: Farong Zhu, Robert G. ParkerAbstract:A prototypical three-pulley serpentine Belt drive with Belt bending stiffness is extended to include a one-way clutch in order to understand the non-linear dynamics of the system with the one-way c...
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steady mechanics of layered multi band Belt Drives used in continuously variable transmissions cvt
Mechanism and Machine Theory, 2008Co-Authors: Lingyuan Kong, Robert G. ParkerAbstract:The steady mechanics of multi-layered metal Belts used in metal-pushing continuously variable transmissions (CVT) are examined where the thin individual bands are modeled as axially moving strings. For each band, the main characteristics of classic flat Belt models, such as band inertia, tension/speed constitutive law and elastic extension, are retained. Relative speeds between the layered bands and between the innermost band and the pulleys transfer the driving torque via friction between the contacting surfaces. The friction, tension and speed distributions in the individual bands are obtained by a boundary value problem (BVP) solver-based method. Load sharing among the multiple bands is investigated. This model is useful for Belt fatigue life analysis and to guide the design of such multi-layered Belts, given that one of the main failure modes of metal-pushing CVT is premature breakage of one or more of the layered steel bands.
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influence of tensioner dry friction on the vibration of Belt Drives with Belt bending stiffness
Journal of Vibration and Acoustics, 2008Co-Authors: Farong Zhu, Robert G. ParkerAbstract:A model of dry friction tensioner in a Belt-pulley system considering transverse Belt vibration is developed, and the influence of the dry friction on the system dynamics is examined. The discretized formulation is divided into a linear subsystem including linear coordinates and a nonlinear subsystem addressing tensioner arm vibration, which reduces the dimension of the iteration matrices when employing the harmonic balance method. The Coulomb damping at the tensioner arm pivot mitigates the tensioner arm vibration but not necessarily the vibrations of other system components. The extent of the mitigation varies for different excitation frequency ranges. The critical amplitude of the dry friction torque beyond which the system operates with a locked arm is determined analytically. Superharmonic resonances are observed in the responses of the generalized span coordinates, but their amplitudes are small. The energy dissipation at the tensioner arm hub is discussed, and the stick-slip phenomena of the arm are reflected in the velocity reversals near the arm extreme location. Dependence of the span tension fluctuations on Coulomb torque is explored.
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Piece-Wise Linear Dynamic Analysis of Serpentine Belt Drives With a One-Way Clutch
Volume 7: 10th International Power Transmission and Gearing Conference, 2007Co-Authors: Robert G. ParkerAbstract:A prototypical three-pulley serpentine Belt drive with Belt bending stiffness is extended to include a one-way clutch in order to understand the nonlinear dynamics of the system with the one-way clutch performance. The clutch is modeled based on the relative velocity of the driven pulley and its accessory. The clutch locks (engages) the pulley and accessory for zero relative velocity and produces a positive inner clutch torque. Zero clutch torque initiates clutch disengagement, allowing unequal velocities of the two components. This model leads to a piece-wise linear system. The transition matrix is used to evaluate the system response in discrete time series for the two linear configurations, saving significant computation time. The system dynamics including response and dynamic tension drop are examined for varying excitation frequency, inertia ratio of the pulley and accessory, and external load. The investigation of vibration reduction due to the single-direction power transmission of the clutch provides design guidelines in practice.Copyright © 2007 by ASME
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influence of tensioner dry friction on the vibration of Belt Drives with Belt bending stiffness
ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2007Co-Authors: Farong Zhu, Robert G. ParkerAbstract:A model of dry friction tensioner in a Belt-pulley system considering transverse Belt vibration is developed, and the influence of the dry friction on the system dynamics is examined. The discretized formulation is divided into a linear subsystem including linear coordinates and a nonlinear subsystem addressing tensioner arm vibration, which reduces the dimension of the iteration matrices when employing the harmonic balance method. The Coulomb damping at the tensioner arm pivot mitigates the tensioner arm vibration but not necessarily the vibrations of other system components. The extent of the mitigation varies for different excitation frequency ranges. The critical amplitude of the dry friction torque beyond which the system operates with a locked arm is determined analytically. Superharmonic resonances are observed in the responses of the generalized span coordinates but their amplitudes are small. The energy dissipation at the tensioner arm hub is discussed, and the stick-slip phenomena of the arm are reflected in the velocity reversals near the arm extreme location. Dependence of the span tension fluctuations on Coulomb torque is explored.Copyright © 2007 by ASME
Khaled Salah Mohamed Youssef Salah - One of the best experts on this subject based on the ideXlab platform.
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Diseño de una metodología de Diseño de Máquinas utilizando el programa de simulación dinámica de sistemas multicuerpo Adams/View
'Universitat Politecnica de Valencia', 2019Co-Authors: Khaled Salah Mohamed Youssef SalahAbstract:[ES] Este Trabajo Fin de Grado propone la investigación de las posibilidades de utilización del programa de simulación dinámica de sistemas multicuerpo Adams/View para la disciplina de Diseño de Máquinas. Adams/View dispone de un módulo de modelado de sistemas mecánicos como engranajes, transmisiones por correas, transmisiones por cadenas, rodamientos, conexiones mediante cables, motores eléctricos y levas, bajo el nombre de Adams/Machinery. La disciplina de Diseño de Máquinas requiere para el dimensionamiento de elementos como ejes la generación de una serie de cálculos de acciones de reacción entre cuerpos que tienen su origen en la disciplina de Teoría de Máquinas y Mecanismos. A partir de esos cálculos se procede a la determinación de las características físicas (materiales, dimensiones, disposición de elementos, etc...) de los componentes de la máquina y se realiza el proyecto que cumpla los requerimientos de servicio solicitados. Dado que el módulo Adams/Machinery tiene muchas posibilidades, pero hay poca información disponible por parte de los desarrolladores del programa, salvo una ayuda integrada en el programa de difícil comprensión y acceso, se considera conveniente la elaboración de una metodología que permita abordar los problemas típicos de cálculo en Diseño de Máquinas y que facilite el desarrollo de futuros proyectos. Igualmente, este proyecto servirá para contrastar los métodos tradicionales de cálculo con los implementados en el programa Adams, lo que permitirá promover el uso de un programa creado inicialmente en el entorno de la Teoría de Máquinas dentro de la disciplina tecnológica siguiente en el desarrollo curricular de la Ingeniería Mecánica, el Diseño de Máquinas.[EN] This Final Degree Project proposes the investigation of the possibilities of using the dynamic simulation program of Adams / View multibody systems for the discipline of Machine Design. Adams / View has a modeling module for mechanical systems such as gears, Belt Drives, chain Drives, bearings, cable connections, electric motors and cams, under the name of Adams/Machinery. The discipline of Machine Design requires for the dimensioning of elements as axes the generation of a series of calculations of reaction actions between bodies that have their origin in the discipline of Theory of Machines and Mechanisms. Based on these calculations, the physical characteristics (materials, dimensions, elements disposition, etc ...) of the machine components are determined and the project that fulfills the requested service requirements is carried out. Given that the Adams / Machinery module has many possibilities, but there is little information available from the developers of the program, except for a help integrated in the program that is difficult to understand and access, it is considered convenient to develop a methodology that allows tackling the typical calculation problems in Machine Design and to facilitate the development of future projects. Likewise, this project will serve to contrast the traditional methods of calculation with those implemented in the Adams program, which will allow promoting the use of a program initially created in the environment of the Theory of Machines within the following technological discipline in the curricular development of Mechanical Engineering, Machine Design.Khaled Salah Mohamed Youssef, S. (2019). Diseño de una metodología de Diseño de Máquinas utilizando el programa de simulación dinámica de sistemas multicuerpo Adams/View. http://hdl.handle.net/10251/127258TFG
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Diseño de una metodología de Diseño de Máquinas utilizando el programa de simulación dinámica de sistemas multicuerpo Adams/View
'Universitat Politecnica de Valencia', 2019Co-Authors: Khaled Salah Mohamed Youssef SalahAbstract:[ES] Este Trabajo Fin de Grado propone la investigación de las posibilidades de utilización del programa de simulación dinámica de sistemas multicuerpo Adams/View para la disciplina de Diseño de Máquinas. Adams/View dispone de un módulo de modelado de sistemas mecánicos como engranajes, transmisiones por correas, transmisiones por cadenas, rodamientos, conexiones mediante cables, motores eléctricos y levas, bajo el nombre de Adams/Machinery. La disciplina de Diseño de Máquinas requiere para el dimensionamiento de elementos como ejes la generación de una serie de cálculos de acciones de reacción entre cuerpos que tienen su origen en la disciplina de Teoría de Máquinas y Mecanismos. A partir de esos cálculos se procede a la determinación de las características físicas (materiales, dimensiones, disposición de elementos, etc...) de los componentes de la máquina y se realiza el proyecto que cumpla los requerimientos de servicio solicitados. Dado que el módulo Adams/Machinery tiene muchas posibilidades, pero hay poca información disponible por parte de los desarrolladores del programa, salvo una ayuda integrada en el programa de difícil comprensión y acceso, se considera conveniente la elaboración de una metodología que permita abordar los problemas típicos de cálculo en Diseño de Máquinas y que facilite el desarrollo de futuros proyectos. Igualmente, este proyecto servirá para contrastar los métodos tradicionales de cálculo con los implementados en el programa Adams, lo que permitirá promover el uso de un programa creado inicialmente en el entorno de la Teoría de Máquinas dentro de la disciplina tecnológica siguiente en el desarrollo curricular de la Ingeniería Mecánica, el Diseño de Máquinas.[EN] This Final Degree Project proposes the investigation of the possibilities of using the dynamic simulation program of Adams / View multibody systems for the discipline of Machine Design. Adams / View has a modeling module for mechanical systems such as gears, Belt Drives, chain Drives, bearings, cable connections, electric motors and cams, under the name of Adams/Machinery. The discipline of Machine Design requires for the dimensioning of elements as axes the generation of a series of calculations of reaction actions between bodies that have their origin in the discipline of Theory of Machines and Mechanisms. Based on these calculations, the physical characteristics (materials, dimensions, elements disposition, etc ...) of the machine components are determined and the project that fulfills the requested service requirements is carried out. Given that the Adams / Machinery module has many possibilities, but there is little information available from the developers of the program, except for a help integrated in the program that is difficult to understand and access, it is considered convenient to develop a methodology that allows tackling the typical calculation problems in Machine Design and to facilitate the development of future projects. Likewise, this project will serve to contrast the traditional methods of calculation with those implemented in the Adams program, which will allow promoting the use of a program initially created in the environment of the Theory of Machines within the following technological discipline in the curricular development of Mechanical Engineering, Machine Design.Khaled Salah Mohamed Youssef, S. (2019). Diseño de una metodología de Diseño de Máquinas utilizando el programa de simulación dinámica de sistemas multicuerpo Adams/View. Universitat Politècnica de València. http://hdl.handle.net/10251/127258TFG
Lingyuan Kong - One of the best experts on this subject based on the ideXlab platform.
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steady mechanics of layered multi band Belt Drives used in continuously variable transmissions cvt
Mechanism and Machine Theory, 2008Co-Authors: Lingyuan Kong, Robert G. ParkerAbstract:The steady mechanics of multi-layered metal Belts used in metal-pushing continuously variable transmissions (CVT) are examined where the thin individual bands are modeled as axially moving strings. For each band, the main characteristics of classic flat Belt models, such as band inertia, tension/speed constitutive law and elastic extension, are retained. Relative speeds between the layered bands and between the innermost band and the pulleys transfer the driving torque via friction between the contacting surfaces. The friction, tension and speed distributions in the individual bands are obtained by a boundary value problem (BVP) solver-based method. Load sharing among the multiple bands is investigated. This model is useful for Belt fatigue life analysis and to guide the design of such multi-layered Belts, given that one of the main failure modes of metal-pushing CVT is premature breakage of one or more of the layered steel bands.
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Mechanics of Serpentine Belt Drives with Tensioner Assemblies and Belt Bending Stiffness
Journal of Mechanical Design, 2004Co-Authors: Lingyuan KongAbstract:Steady state analysis is conducted on a multipulley serpentine Belt drive with a spring-loaded tensioner assembly. Classical creep theory is extended to incorporate Belt bending stiffness as well as the Belt stretching and centripetal accelerations. The Belt is modeled as an axially moving Euler–Bernoulli beam with nonuniform speed due to Belt extensibility and variation of Belt tension. The geometry of the Belt-pulley contact zones and the corresponding Belt tension and friction distributions are the main factors affecting Belt slip. Bending stiffness introduces nontrivial span deflections, reduces the wrap angles, and makes the Belt-pulley contact points unknown a priori. The free span boundary value problems (BVP) with undetermined boundaries are transformed to a fixed boundary form. A two-loop iteration method, necessitated by the tensioner assembly, is developed to find the system steady state. The effects of system parameters on serpentine drive behavior are explored in the context of an actual automotive Belt drive.
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coupled Belt pulley vibration in serpentine Drives with Belt bending stiffness
Journal of Applied Mechanics, 2004Co-Authors: Lingyuan Kong, Robert G. ParkerAbstract:A method is developed to evaluate the natural frequencies and vibration modes of serpentine Belt Drives where the Belt is modeled as a moving beam with bending stiffness. Inclusion of bending stiffness leads to Belt-pulley coupling not captured in moving string models. New dynamic characteristics of the system induced by Belt bending stiffness are investigated. The Belt-pulley coupling is studied through the evolution of the vibration modes. When the Belt-pulley coupling is strong, the dynamic behavior of the system is quite different from that of the string model where there is no such coupling. The effects of major design variables on the system are discussed. The spatial discretization can be used to solve other hybrid continuous/discrete eigenvalue problems.
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Equilibrium and Belt-Pulley Vibration Coupling in Serpentine Belt Drives
Journal of Applied Mechanics, 2003Co-Authors: Lingyuan KongAbstract:Serpentine Belt Drives with spring-loaded tensioners are now widely used in the automotive industry. Experimental measurements show that linear system vibration coupling exists between the pulley rotations and the transverse span deflections. Former models that treat the Belt as a string and neglect the Belt bending stiffness cannot explain this coupling phenomenon. In this paper a new serpentine Belt system model incorporating the Belt bending stiffness is established. The finite Belt bending stiffness causes nontrivial transverse span equilibria, in contrast to string models with straight span equilibria. Nontrivial span equilibria cause linear span-pulley coupling, and the degree of coupling is determined by the equilibrium curvatures. A computational method based on boundary value problem solvers is developed to obtain the numerically exact solution of the non[ linear equilibrium equations. An approximate analytical solution of closed-form is also obtained for the case of small bending stiffness. Based on these solutions, the effects of design variables on the equilibrium deflections and span-pulley coupling are investigated.
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coupled Belt pulley vibration in serpentine Drives with Belt bending stiffness
ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2003Co-Authors: Lingyuan Kong, Robert G. ParkerAbstract:A method is developed to evaluate the natural frequencies and vibration modes of serpentine Belt Drives where the Belt is modeled as a moving beam with bending stiffness. Inclusion of bending stiffness leads to Belt-pulley coupling not captured in moving string models. New dynamic characteristics of the system induced by the Belt bending stiffness are investigated. The Belt-pulley coupling is studied through the evolution of the vibration modes. When the Belt-pulley coupling is strong, the dynamic behavior of the system is quite different from that of the string model where there is no such coupling. The effects of major design variables on the system are discussed. The spatial discretization can be used to solve other hybrid continuous/discrete eigenvalue problems.Copyright © 2003 by ASME
Kimmo Kerkkanen - One of the best experts on this subject based on the ideXlab platform.
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nonlinear dynamics of three dimensional Belt Drives using the finite element method
Nonlinear Dynamics, 2007Co-Authors: Kari Dufva, Kimmo Kerkkanen, Luis G Maqueda, Ahmed A ShabanaAbstract:In this paper, new nonlinear dynamic formulations for Belt Drives based on the three-dimensional absolute nodal coordinate formulation are developed. Two large deformation three-dimensional finite elements are used to develop two different Belt-drive models that have different numbers of degrees of freedom and different modes of deformation. Both three-dimensional finite elements are based on a nonlinear elasticity theory that accounts for geometric nonlinearities due to large deformation and rotations. The first element is a thin-plate element that is based on the Kirchhoff plate assumptions and captures both membrane and bending stiffness effects. The other three-dimensional element used in this investigation is a cable element obtained from a more general three-dimensional beam element by eliminating degrees of freedom which are not significant in some cable and Belt applications. Both finite elements used in this investigation allow for systematic inclusion or exclusion of the bending stiffness, thereby enabling systematic examination of the effect of bending on the nonlinear dynamics of Belt Drives. The finite-element formulations developed in this paper are implemented in a general purpose three-dimensional flexible multibody algorithm that allows for developing more detailed models of mechanical systems that include Belt Drives subject to general loading conditions, nonlinear algebraic constraints, and arbitrary large displacements. The use of the formulations developed in this investigation is demonstrated using two-roller Belt-drive system. The results obtained using the two finite-element formulations are compared and the convergence of the two finite-element solutions is examined.
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modeling of Belt Drives using a large deformation finite element formulation
Nonlinear Dynamics, 2006Co-Authors: Kimmo Kerkkanen, Daniel Garciavallejo, Aki MikkolaAbstract:In this paper, the applicability of the absolute nodal coordinate formulation for the modeling of Belt-drive systems is studied. A successful and effective analyzing method for Belt-drive systems requires the exact modeling of the rigid body inertia during an arbitrary rigid body motion, accounting of shear deformation, description of highly nonlinear deformations, and a simple as well as realistic description of the contact. The absolute nodal coordinate formulation meets the challenge and is a promising approach for the modeling of Belt-drive systems. In this study, a recently proposed two-dimensional shear deformable beam element based on the absolute nodal coordinate formulation has been modified to obtain a Belt-like element. In the original element, a continuum mechanics approach is applied to the exact displacement field of the shear deformable beam. The Belt-like element allows the user to control the axial and bending stiffness through the use of two parameters. In this study, the interaction between the Belt and the pulleys is modeled using an elastic approach in which the contact is accounted for by the inclusion of a set of external forces that depend on the penetration between the Belt and pulley. When using the absolute nodal coordinate formulation, the contact forces can be distributed over the length of the element due to the use of high-order polynomials. This is different from other approaches that are used in the modeling of Belt-Drives. Static and dynamic analysis are used in this study to show the performance of the distributed contact force model and the proposed Belt-like element, which is able to model highly nonlinear deformations. Applying these two contributions to the modeling of Belt-drive systems, instead of contact forces applied at nodes and low-order elements, leads to a considerable reduction in the degrees of freedom.
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three dimensional large deformation finite element analysis of Belt Drives
2006Co-Authors: Kari Dufva, Kimmo Kerkkanen, Luis G Maqueda, Ahmed A ShabanaAbstract:In this paper, methods for the large deformation finite element analysis of Belt Drives are presented. The new nonlinear dynamic formulations for Belt Drives are based on the three-dimensional large deformation absolute nodal coordinate formulation. Two different Belt drive models that have different numbers of degrees of freedom and different modes of deformation are presented. Both three-dimensional finite elements are based on a nonlinear elasticity theory that accounts for geometric nonlinearities due to large deformation and rotations. In the first model, a thin plate element that is based on the Kirchhoff plate assumptions and captures both membrane and bending stiffness effects is used. In the second model, a cable element obtained from a more general threedimensional beam element by eliminating degrees of freedom which are not significant in some cable and Belt applications is used. Both finite elements used in this investigation allow for systematic inclusion or exclusion of the bending stiffness, thereby enabling one to systematically examine the effect of bending on the nonlinear dynamics of Belt Drives. The finite element formulations developed in this paper are implemented in a general purpose three-dimensional flexible multi-body algorithm that allows for developing more detailed models of mechanical systems that include Belt Drives subject to general loading conditions, nonlinear algebraic constraints, and arbitrary large displacements. The plate formulation also allows using a surface distribution of the contact forces; such a distribution can not be obtained using beam elements since this element is represented by its centerline. Contact forces on the surface are compared to analytical results of similar but twodimensional model. The friction and normal force distributions are in agreement with analytical models. Some differences in results between the plate, cable and analytical formulations are obtained and discussed.
Michael J. Leamy - One of the best experts on this subject based on the ideXlab platform.
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minimizing self oscillation in Belt Drives surface texturing
Tribology International, 2020Co-Authors: Michael J. Leamy, Michael VarenbergAbstract:Abstract Detachment waves have recently been identified as one of the main sources for self-oscillation and accompanying energy losses in Belt drive systems under low-speed and otherwise steady operation. In light of this, herein we explore mitigation of detachment wave-induced instabilities via regular and irregular texturing of the Belt contact surface. The results document that surface texturing reduces the magnitude of Belt drive oscillations, with the reduction being significantly more pronounced in the driver case than in the driven case. While both regular and irregular surface topographies are useful in minimizing the vibrations, regular patterns result in a stronger effect. The aspect ratio of surface projections is found to be the most important parameter, while excessive texturing of the Belt surface is shown to result in Belts losing their tractive capabilities.
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Schallamach waves in rolling: Belt Drives
Tribology International, 2018Co-Authors: Yingdan Wu, Michael J. Leamy, Michael VarenbergAbstract:Abstract The contact mechanics in a Belt drive has been experimentally studied to explore the mechanism of relative displacement at the Belt/pulley interface. We have found that under the slow speed considered, no sliding takes place at the interface, and that relative displacement between the elastomeric Belt and the pulley is achieved by cyclic detachment. The contact mechanics is different in the driver and driven pulleys, which results in different slip arc angles and calls into question the universal validity of the symmetric sliding-based approach to analysis of the Belt drive contact. Waves of detachment are observed in the driver pulley, while in the driven pulley, the system instabilities result from the combination of the pulley rotation and the adhesion hysteresis.
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dynamic modeling of flat Belt Drives using the elastic perfectly plastic friction law
ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2009Co-Authors: Dooroo Kim, Michael J. Leamy, Aldo A FerriAbstract:An analysis of a physically-motivated friction model called the Elastic/Perfectly-Plastic (EPP) friction model was performed on a steadily rotating flat Belt drive. The EPP friction law is modeled as an elastic spring in series with an ideal Coulomb damper. The Belt kinematics were developed and the nonlinear equations of motion and equilibrium solutions were derived using Hamilton’s Principle. Unlike the Belt mechanics analyzed with Coulomb friction, the current study predicts the absence of adhesion zones. A stability analysis demonstrates that the non-linear equilibrium solution found is stable under local perturbation. A two-pulley Belt drive with equal radii is analyzed and the dynamic response is studied. The results are compared to those computed using a dynamic finite element model. Excellent agreement between the two methods is documented.Copyright © 2009 by ASME
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time accurate finite element modelling of the transient steady state and frequency responses of serpentine and timing Belt Drives
International Journal of Vehicle Design, 2005Co-Authors: Michael J. Leamy, Tamer M. WasfyAbstract:A time-accurate dynamic finite element model is presented for analysing the transient, steady-state and frequency responses of both serpentine and synchronous Belt-Drives. The Belt is discretised using either truss or beam elements, while the pulleys and sprockets are modelled as cylindrical rigid bodies with internal teeth, where appropriate. Frictional contact is accurately modelled where the Belt contacts either pulleys or sprockets, and also in the tensioner arm hub. Computed response quantities useful to design engineers include span tension and transverse displacements, tensioner arm movement, system vibration modes and pulley and sprocket rotational response. The finite element solutions are validated through comparison to both exact analytical solutions and experimental data and very good agreement is found in all comparisons.
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Transient and Steady-State Dynamic Finite Element Modeling of Belt-Drives
Journal of Dynamic Systems Measurement and Control-transactions of The Asme, 2002Co-Authors: Michael J. Leamy, Tamer M. WasfyAbstract:In this study, a dynamic finite element model is developed for pulley Belt-drive systems and is employed to determine the transient and steady-state response of a prototypical Belt-drive. The Belt is modeled using standard truss elements, while the pulleys are modeled using rotating circular constraints, for which the driver pulley's angular velocity is prescribed. Frictional contact between the pulleys and the Belt is modeled using a penalty formulation with frictional contact governed by a Coulomb-like tri-linear friction law. One-way clutch elements are modeled using a proportional torque law supporting torque transmission in a single direction. The dynamic response of the drive is then studied by incorporating the model into an explicit finite element code, which can maintain time-accuracy for large rotations and for long simulation times. The finite element solution is validated through comparison to an exact analytical solution of a steadily-rotating, two-pulley drive. Several response quantities are compared, including the normal and tangential (friction) force distributions between the pulleys and the Belt, the driven pulley angular velocity and the Belt span tensions. Excellent agreement is found. Transient response results for a second Belt-drive example involving a one-way clutch are used to demonstrate the utility and flexibility of the finite element solution approach.