The Experts below are selected from a list of 69 Experts worldwide ranked by ideXlab platform

Oliver Sawodny - One of the best experts on this subject based on the ideXlab platform.

  • closed form solutions and analysis of the eigenmodes of euler bernoulli beams with inner Pinned Support and end mass
    International Conference on Advanced Intelligent Mechatronics, 2020
    Co-Authors: Simon Densborn, Oliver Sawodny
    Abstract:

    Euler-Bernoulli beams are widely used as atomic elements in dynamic modeling of mechanical structures. Until now, beams with inner constraints are modeled as a series connection of two or more beams and solved numerically. This paper provides the analytical solutions for the normalized eigenmodes and characteristic expressions for beams with inner Pinned Support at an arbitrary position as inner constraint.

  • AIM - Closed-form solutions and analysis of the eigenmodes of Euler-Bernoulli beams with inner Pinned Support and end mass
    2020 IEEE ASME International Conference on Advanced Intelligent Mechatronics (AIM), 2020
    Co-Authors: Simon Densborn, Oliver Sawodny
    Abstract:

    Euler-Bernoulli beams are widely used as atomic elements in dynamic modeling of mechanical structures. Until now, beams with inner constraints are modeled as a series connection of two or more beams and solved numerically. This paper provides the analytical solutions for the normalized eigenmodes and characteristic expressions for beams with inner Pinned Support at an arbitrary position as inner constraint.

  • CCTA - Closed-Form Solution for the Eigenmodes of Euler-Bernoulli Beams in Pinned-Pinned-Free Configuration
    2019 IEEE Conference on Control Technology and Applications (CCTA), 2019
    Co-Authors: Simon Densbotn, Oliver Sawodny
    Abstract:

    Euler-Bernoulli beams are commonly used elements in modeling the dynamics of mechanical structures. For static boundary conditions, the beam dynamics are well understood and analytical expressions for the normalized eigenmodes and characteristic equations are available. Until now, cantilever beams as shown in Fig. 2, are modeled as a series connection of two general beams and solved numerically. This paper provides an analytical solution for the normalized eigenmodes of cantilever beams with inner Pinned Support at an arbitrary position. The eigenfrequencies can be computed by finding the roots of an analytically given characteristic equation. Using a provided solution interval for each root, it is possible to compute each eigenfrequency within a fixed number of iterations for any given precision in a deterministic way.

Selda Oterkus - One of the best experts on this subject based on the ideXlab platform.

  • Analysis of Functionally Graded Timoshenko Beams by Using Peridynamics
    Journal of Peridynamics and Nonlocal Modeling, 2020
    Co-Authors: Zhenghao Yang, Erkan Oterkus, Selda Oterkus
    Abstract:

    In this study, a new peridynamic formulation is presented for functionally graded Timoshenko beams. The governing equations of the peridynamic formulation are obtained by utilising Euler-Lagrange equation and Taylor’s expansion. The proposed formulation is validated by considering a Timoshenko beam subjected to different boundary conditions including Pinned Support-roller Support, clamped-roller Support and clamped-free boundary conditions. Results from peridynamics are compared against finite element analysis results. A very good agreement is obtained for transverse displacements, rotations and axial displacements along the beam.

  • A state-based peridynamic formulation for functionally graded Euler-Bernoulli beams
    Computer Modeling in Engineering & Sciences, 2020
    Co-Authors: Zhenghao Yang, Erkan Oterkus, Selda Oterkus
    Abstract:

    In this study, a new state-based peridynamic formulation is developed for functionally graded Euler-Bernoulli beams. The equation of motion is developed by using Lagrange’s equation and Taylor series. Both axial and transverse displacements are taken into account as degrees of freedom. Four different boundary conditions are considered including Pinned Support-roller Support, Pinned Support-Pinned Support, clamped-clamped and clamped-free. Peridynamic results are compared against finite element analysis results for transverse and axial deformations and a very good agreement is observed for all different types of boundary conditions.

Simon Densborn - One of the best experts on this subject based on the ideXlab platform.

Zhenghao Yang - One of the best experts on this subject based on the ideXlab platform.

  • Analysis of Functionally Graded Timoshenko Beams by Using Peridynamics
    Journal of Peridynamics and Nonlocal Modeling, 2020
    Co-Authors: Zhenghao Yang, Erkan Oterkus, Selda Oterkus
    Abstract:

    In this study, a new peridynamic formulation is presented for functionally graded Timoshenko beams. The governing equations of the peridynamic formulation are obtained by utilising Euler-Lagrange equation and Taylor’s expansion. The proposed formulation is validated by considering a Timoshenko beam subjected to different boundary conditions including Pinned Support-roller Support, clamped-roller Support and clamped-free boundary conditions. Results from peridynamics are compared against finite element analysis results. A very good agreement is obtained for transverse displacements, rotations and axial displacements along the beam.

  • A state-based peridynamic formulation for functionally graded Euler-Bernoulli beams
    Computer Modeling in Engineering & Sciences, 2020
    Co-Authors: Zhenghao Yang, Erkan Oterkus, Selda Oterkus
    Abstract:

    In this study, a new state-based peridynamic formulation is developed for functionally graded Euler-Bernoulli beams. The equation of motion is developed by using Lagrange’s equation and Taylor series. Both axial and transverse displacements are taken into account as degrees of freedom. Four different boundary conditions are considered including Pinned Support-roller Support, Pinned Support-Pinned Support, clamped-clamped and clamped-free. Peridynamic results are compared against finite element analysis results for transverse and axial deformations and a very good agreement is observed for all different types of boundary conditions.

Hsien-yuan Lin - One of the best experts on this subject based on the ideXlab platform.

  • On the natural frequencies and mode shapes of a multispan Timoshenko beam carrying a number of various concentrated elements
    Journal of Sound and Vibration, 2008
    Co-Authors: Hsien-yuan Lin
    Abstract:

    Abstract The purpose of this paper is to utilize the numerical assembly method (NAM) to determine the exact natural frequencies and mode shapes of the multispan Timoshenko beam carrying a number of various concentrated elements including point masses, rotary inertias, linear springs, rotational springs and spring–mass systems. First, the coefficient matrices for an intermediate Pinned Support, an intermediate concentrated element, left- and right-end Support of a Timoshenko beam are derived. Next, the overall coefficient matrix for the whole structural system is obtained using the numerical assembly technique of the finite element method. Finally, the exact natural frequencies and the associated mode shapes of the vibrating system are determined by equating the determinant of the last overall coefficient matrix to zero and substituting the corresponding values of integration constants into the associated eigenfunctions, respectively. The effects of distribution of in-span Pinned Supports and various concentrated elements on the dynamic characteristics of the Timoshenko beam are also studied.

  • On the natural frequencies and mode shapes of a uniform multi-span beam carrying multiple point masses
    Structural Engineering and Mechanics, 2005
    Co-Authors: Hsien-yuan Lin, Ying-chien Tsai
    Abstract:

    Multi-span beams carrying multiple point masses are widely used in engineering applications, but the literature for free vibration analysis of such structural systems is much less than that of single-span beams. The complexity of analytical expressions should be one of the main reasons for the last phenomenon. The purpose of this paper is to utilize the numerical assembly method (NAM) to determine the exact natural frequencies and mode shapes of a multi-span uniform beam carrying multiple point masses. First, the coefficient matrices for an intermediate Pinned Support, an intermediate point mass, left-end Support and right-end Support of a uniform beam are derived. Next, the overall coefficient matrix for the whole structural system is obtained using the numerical assembly technique of the finite element method. Finally, the natural frequencies and the associated mode shapes of the vibrating system are determined by equating the determinant of the last overall coefficient matrix to zero and substituting the corresponding values of integration constants into the related eigenfunctions respectively. The effects of in-span Pinned Supports and point masses on the free vibration characteristics of the beam are also studied.