The Experts below are selected from a list of 327 Experts worldwide ranked by ideXlab platform
Daulet Nurakhmetov - One of the best experts on this subject based on the ideXlab platform.
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Analysis of the Lumped Mass Model for the cantilever beam subject to Grob’s swelling pressure
Communications in Nonlinear Science and Numerical Simulation, 2020Co-Authors: Piotr Skrzypacz, Anastasios Bountis, Daulet NurakhmetovAbstract:Abstract The Lumped Mass Model is derived from a one-mode Galerkin discretization with the Gauss–Lobatto quadrature applied to the non-linear swelling pressure term. Our reduced-order Model of the problem is then analyzed to study the essential dynamics of an elastic cantilever Euler–Bernoulli beam subject to the swelling pressure described by Grob’s law. The solutions to the initial value problem for the resulting nonlinear ODE are proved to be always periodic. The numerical solution to the derived Lumped Mass Model satisfactorily matches the finite difference solution of the dynamic beam problem. Including the effect of oscillations at the base of the beam, we show that the Model exhibits resonances that may crucially influence its dynamical behavior.
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analysis of the Lumped Mass Model for the cantilever beam subject to grob s swelling pressure
Communications in Nonlinear Science and Numerical Simulation, 2020Co-Authors: Piotr Skrzypacz, Anastasios Bountis, Daulet NurakhmetovAbstract:Abstract The Lumped Mass Model is derived from a one-mode Galerkin discretization with the Gauss–Lobatto quadrature applied to the non-linear swelling pressure term. Our reduced-order Model of the problem is then analyzed to study the essential dynamics of an elastic cantilever Euler–Bernoulli beam subject to the swelling pressure described by Grob’s law. The solutions to the initial value problem for the resulting nonlinear ODE are proved to be always periodic. The numerical solution to the derived Lumped Mass Model satisfactorily matches the finite difference solution of the dynamic beam problem. Including the effect of oscillations at the base of the beam, we show that the Model exhibits resonances that may crucially influence its dynamical behavior.
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Analysis of Dynamic Pull-in Voltage of a Graphene MEMS Model.
arXiv: Dynamical Systems, 2018Co-Authors: Piotr Skrzypacz, Shirali Kadyrov, Daulet NurakhmetovAbstract:Bifurcation analysis of dynamic pull-in for a Lumped Mass Model is presented. The restoring force of the spring is derived based on the nonlinear constitutive stress-strain law and the driving force of the Mass attached to the spring is based on the electrostatic Coulomb force, respectively. The analysis is performed on the resulting nonlinear spring-Mass equation with initial conditions. The necessary and sufficient conditions for the existence of periodic solutions are derived analytically and illustrated numerically. The conditions for bifurcation points on the parameters associated with the second-order elastic stiffness constant and the voltage are determined.
Piotr Skrzypacz - One of the best experts on this subject based on the ideXlab platform.
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Analysis of the Lumped Mass Model for the cantilever beam subject to Grob’s swelling pressure
Communications in Nonlinear Science and Numerical Simulation, 2020Co-Authors: Piotr Skrzypacz, Anastasios Bountis, Daulet NurakhmetovAbstract:Abstract The Lumped Mass Model is derived from a one-mode Galerkin discretization with the Gauss–Lobatto quadrature applied to the non-linear swelling pressure term. Our reduced-order Model of the problem is then analyzed to study the essential dynamics of an elastic cantilever Euler–Bernoulli beam subject to the swelling pressure described by Grob’s law. The solutions to the initial value problem for the resulting nonlinear ODE are proved to be always periodic. The numerical solution to the derived Lumped Mass Model satisfactorily matches the finite difference solution of the dynamic beam problem. Including the effect of oscillations at the base of the beam, we show that the Model exhibits resonances that may crucially influence its dynamical behavior.
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analysis of the Lumped Mass Model for the cantilever beam subject to grob s swelling pressure
Communications in Nonlinear Science and Numerical Simulation, 2020Co-Authors: Piotr Skrzypacz, Anastasios Bountis, Daulet NurakhmetovAbstract:Abstract The Lumped Mass Model is derived from a one-mode Galerkin discretization with the Gauss–Lobatto quadrature applied to the non-linear swelling pressure term. Our reduced-order Model of the problem is then analyzed to study the essential dynamics of an elastic cantilever Euler–Bernoulli beam subject to the swelling pressure described by Grob’s law. The solutions to the initial value problem for the resulting nonlinear ODE are proved to be always periodic. The numerical solution to the derived Lumped Mass Model satisfactorily matches the finite difference solution of the dynamic beam problem. Including the effect of oscillations at the base of the beam, we show that the Model exhibits resonances that may crucially influence its dynamical behavior.
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Analysis of Dynamic Pull-in Voltage of a Graphene MEMS Model.
arXiv: Dynamical Systems, 2018Co-Authors: Piotr Skrzypacz, Shirali Kadyrov, Daulet NurakhmetovAbstract:Bifurcation analysis of dynamic pull-in for a Lumped Mass Model is presented. The restoring force of the spring is derived based on the nonlinear constitutive stress-strain law and the driving force of the Mass attached to the spring is based on the electrostatic Coulomb force, respectively. The analysis is performed on the resulting nonlinear spring-Mass equation with initial conditions. The necessary and sufficient conditions for the existence of periodic solutions are derived analytically and illustrated numerically. The conditions for bifurcation points on the parameters associated with the second-order elastic stiffness constant and the voltage are determined.
Daniel J. Inman - One of the best experts on this subject based on the ideXlab platform.
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Lumped Mass Model of a 1D Metastructure with Vibration Absorbers with Varying Mass
Sensors and Instrumentation Aircraft Aerospace and Energy Harvesting Volume 8, 2019Co-Authors: Katherine K. Reichl, Daniel J. InmanAbstract:This work examines the distribution of vibration absorber Mass for a Lumped Mass metastructure Model designed to suppress vibrations in the axial direction. Metastructures, a metamaterial inspired concept, are structures with distributed vibration absorbers. In automotive and aerospace industries, it is critical to have low levels of vibrations while also using lightweight materials. Previous work has shown that this design can effectively reduce vibrations by comparing the response of the metastructure to a structure with no vibration absorbers but with equal Mass. Previous work constrained the vibration absorber Masses to be the same throughout the structure. This work looks at the added performance that can be realized by allowing these Masses to varying throughout the length of the metastructure. Additionally, the performance of the metastructure is also compared a host structure with a single tuned Mass damper to show how this new technology differs from traditional vibration suppression methods.
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Lumped Mass Model of a 1D metastructure for vibration suppression with no additional Mass
Journal of Sound and Vibration, 2017Co-Authors: Katherine K. Reichl, Daniel J. InmanAbstract:The article examines the effectiveness of metastructures for vibration suppression from a weight standpoint. Metastructures, a metamaterial inspired concept, are structures with distributed vibration absorbers. In automotive and aerospace industries, it is critical to have low levels of vibrations while also using lightweight materials. Previous work has shown that metastructures are effective at mitigating vibrations, but do not consider the effects of Mass. This work takes Mass into consideration by comparing a structure with vibration absorbers to a structure of equal Mass with no absorbers. These structures are Modeled as one-dimensional Lumped Mass Models, chosen for simplicity. Results compare both the steady-state and the transient responses. As a quantitative performance measure, the H2 norm, which is related to the area under the frequency response function, is calculated and compared for both the metastructure and the baseline structure. These results show that it is possible to obtain a favorable vibration response without adding additional Mass to the structure. Additionally, the performance measure is utilized to optimize the geometry of the structure, determine the optimal ratio of Mass in the absorber to Mass of the host structure, and determine the frequencies of the absorbers. The dynamic response of this Model is verified using a finite element analysis.
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Finite Element Modeling of Longitudinal Metastructures for Passive Vibration Suppression
57th AIAA ASCE AHS ASC Structures Structural Dynamics and Materials Conference, 2016Co-Authors: Katherine K. Reichl, Daniel J. InmanAbstract:The research presented here explores a finite element Model of metastructure with distributed vibration absorbers experiencing unidirectional axial vibrations. This work builds off of previous work using a Lumped Mass Model. The proposed Model is compared to a baseline Model where both Models have equal Mass. First, it is verified that the finite element formulation produces similar trends as the Lumped Mass Model, specifically, that using vibration absorbers of linearly varying natural frequencies leads to a larger bandgap of reduced vibrations. Second, the two comparison Models generated using the finite element formulation have different effective stiffnesses and the effects of this is examined. The results show that a small number of vibration absorbers, less than three, leads to a significant change in stiffness which in turn results in a larger dynamic response of the structure.
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Finite Element Modeling of Longitudinal Metastructures for Passive Vibration Suppression
57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2016Co-Authors: Katherine K. Reichl, Daniel J. InmanAbstract:© 2016, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.The research presented here explores a finite element Model of metastructure with distributed vibration absorbers experiencing unidirectional axial vibrations. This work builds off of previous work using a Lumped Mass Model. The proposed Model is compared to a baseline Model where both Models have equal Mass. First, it is verified that the finite element formulation produces similar trends as the Lumped Mass Model, specifically, that using vibration absorbers of linearly varying natural frequencies leads to a larger bandgap of reduced vibrations. Second, the two comparison Models generated using the finite element formulation have different effective stiffnesses and the effects of this is examined. The results show that a small number of vibration absorbers, less than three, leads to a significant change in stiffness which in turn results in a larger dynamic response of the structure.
Heather E. Gunter - One of the best experts on this subject based on the ideXlab platform.
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Short communication Modeling mechanical stresses as a factor in the etiology of benign vocal fold lesions
2020Co-Authors: Heather E. GunterAbstract:Vocal fold tissue lesions such as nodules and polyps are thought to develop in response to mechanical stress that occurs during vocal fold collision. Two computational Models of vocal fold collision during voice production are used to investigate this hypothesis. A one-dimensional Lumped Mass Model, whose parameters are derived from vocal fold tissue dimensions and material properties, predicts stress perpendicular to the direction of impact (normal stress). A previously published three-dimensional finite element Model that incorporates the same dimensions and properties predicts the entire stress tensor. The hypothesis is supported by predictions from the finite element Model that three components of normal stress and one component of shear stress are increased during collision in the typical location of lesions (i.e. the center of the superior medial edge of the vocal fold in the middle of the vibrating and contact region). The Lumped Mass Model predicts that mechanical stress is negatively correlated with mucosal thickness (increased by voice warm-up and hydration), is positively correlated with driving force (proportional to voice intensity), and is affected by voice production method. These relationships are consistent with clinical observations of vocal fold lesion risk factors and have implications for improving prevention and treatment of benign vocal fold lesions. r 2003 Elsevier Ltd. All rights reserved.
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Modeling mechanical stresses as a factor in the etiology of benign vocal fold lesions.
Journal of Biomechanics, 2004Co-Authors: Heather E. GunterAbstract:Vocal fold tissue lesions such as nodules and polyps are thought to develop in response to mechanical stress that occurs during vocal fold collision. Two computational Models of vocal fold collision during voice production are used to investigate this hypothesis. A one-dimensional Lumped Mass Model, whose parameters are derived from vocal fold tissue dimensions and material properties, predicts stress perpendicular to the direction of impact (normal stress). A previously published three-dimensional finite element Model that incorporates the same dimensions and properties predicts the entire stress tensor. The hypothesis is supported by predictions from the finite element Model that three components of normal stress and one component of shear stress are increased during collision in the typical location of lesions (i.e. the center of the superior medial edge of the vocal fold in the middle of the vibrating and contact region). The Lumped Mass Model predicts that mechanical stress is negatively correlated with mucosal thickness (increased by voice warm-up and hydration), is positively correlated with driving force (proportional to voice intensity), and is affected by voice production method. These relationships are consistent with clinical observations of vocal fold lesion risk factors and have implications for improving prevention and treatment of benign vocal fold lesions.
Anastasios Bountis - One of the best experts on this subject based on the ideXlab platform.
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Analysis of the Lumped Mass Model for the cantilever beam subject to Grob’s swelling pressure
Communications in Nonlinear Science and Numerical Simulation, 2020Co-Authors: Piotr Skrzypacz, Anastasios Bountis, Daulet NurakhmetovAbstract:Abstract The Lumped Mass Model is derived from a one-mode Galerkin discretization with the Gauss–Lobatto quadrature applied to the non-linear swelling pressure term. Our reduced-order Model of the problem is then analyzed to study the essential dynamics of an elastic cantilever Euler–Bernoulli beam subject to the swelling pressure described by Grob’s law. The solutions to the initial value problem for the resulting nonlinear ODE are proved to be always periodic. The numerical solution to the derived Lumped Mass Model satisfactorily matches the finite difference solution of the dynamic beam problem. Including the effect of oscillations at the base of the beam, we show that the Model exhibits resonances that may crucially influence its dynamical behavior.
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analysis of the Lumped Mass Model for the cantilever beam subject to grob s swelling pressure
Communications in Nonlinear Science and Numerical Simulation, 2020Co-Authors: Piotr Skrzypacz, Anastasios Bountis, Daulet NurakhmetovAbstract:Abstract The Lumped Mass Model is derived from a one-mode Galerkin discretization with the Gauss–Lobatto quadrature applied to the non-linear swelling pressure term. Our reduced-order Model of the problem is then analyzed to study the essential dynamics of an elastic cantilever Euler–Bernoulli beam subject to the swelling pressure described by Grob’s law. The solutions to the initial value problem for the resulting nonlinear ODE are proved to be always periodic. The numerical solution to the derived Lumped Mass Model satisfactorily matches the finite difference solution of the dynamic beam problem. Including the effect of oscillations at the base of the beam, we show that the Model exhibits resonances that may crucially influence its dynamical behavior.
