Forced vibration analysis for two-degree-of-freedom spring-mass system with gap

In order to explore the dynamics performance of WN (Wildhaber-Novikov) gear transmission, according to the WN gear meshing transmission principle and the forced vibration theory with multi-mass and multi-degree of freedom, the nonlinear two degree of freedom forced vibration analysis model of WN gear pairs load meshing was established. Using vibration analysis and experiment, the meshing vibration behavior and tooth root bend strength of WN Gear were synthetically researched. The example calculation and the solution of the motion differential equations were completed by using numerical analysis method. The application foundation is improved for the dynamics design of WN gear transmission.

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Vibration analysis of beams with a two degree-of-freedom spring-mass system

International Journal of Solids and Structures ◽

10.1016/s0020-7683(97)00037-1 ◽

1998 ◽

Vol 35 (5-6) ◽

pp. 383-401 ◽

Cited By ~ 23

Author(s):

T.-P. Chang ◽

C.-Y. Chang

Keyword(s):

Vibration Analysis ◽

Degree Of Freedom ◽

Mass System ◽

Two Degree Of Freedom

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Dynamic Stiffness Formulation and Its Application for a Combined Beam and a Two Degree-of-Freedom System

Journal of Vibration and Acoustics ◽

10.1115/1.1569943 ◽

2003 ◽

Vol 125 (3) ◽

pp. 351-358 ◽

Cited By ~ 9

Author(s):

J. R. Banerjee

Keyword(s):

Stiffness Matrix ◽

Vibration Analysis ◽

Dynamic Stiffness ◽

Free Vibration Analysis ◽

Degree Of Freedom ◽

Equivalent Stiffness ◽

Euler Beam ◽

Mass System ◽

Stiffness Coefficients ◽

Two Degree Of Freedom

This paper is concerned with the dynamic stiffness formulation and its application for a Bernoulli-Euler beam carrying a two degree-of-freedom spring-mass system. The effect of a two degree-of-freedom system kinematically connected to the beam is represented exactly by replacing it with equivalent stiffness coefficients, which are added to the appropriate stiffness coefficients of the bare beam. Numerical examples whose results are obtained by applying the Wittrick-Williams algorithm to the total dynamic stiffness matrix are given and compared with published results. Applications of the theory include the free vibration analysis of frameworks carrying two degree-of-freedom spring-mass systems.

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Forced vibration analysis of composite beams with piezoelectric layers based on the variable separation method

Composite Structures ◽

10.1016/j.compstruct.2021.114248 ◽

2021 ◽

pp. 114248

Author(s):

María Infantes ◽

Philippe Vidal ◽

Rafael Castro-Triguero ◽

Laurent Gallimard ◽

Olivier Polit

Keyword(s):

Forced Vibration ◽

Vibration Analysis ◽

Composite Beams ◽

Separation Method ◽

Variable Separation ◽

Piezoelectric Layers ◽

Forced Vibration Analysis ◽

Variable Separation Method

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Forced Vibration Analysis of Laminated Composite Shells Reinforced with Graphene Nanoplatelets Using Finite Element Method

Advances in Civil Engineering ◽

10.1155/2020/1471037 ◽

2020 ◽

Vol 2020 ◽

pp. 1-17 ◽

Cited By ~ 6

Author(s):

Trung Thanh Tran ◽

Van Ke Tran ◽

Pham Binh Le ◽

Van Minh Phung ◽

Van Thom Do ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Forced Vibration ◽

Vibration Analysis ◽

Shear Deformation Theory ◽

Laminated Composite ◽

Thermal Environments ◽

Forced Vibration Analysis ◽

Laminated Composite Shells ◽

Element Method

This paper carries out forced vibration analysis of graphene nanoplatelet-reinforced composite laminated shells in thermal environments by employing the finite element method (FEM). Material properties including elastic modulus, specific gravity, and Poisson’s ratio are determined according to the Halpin–Tsai model. The first-order shear deformation theory (FSDT), which is based on the 8-node isoparametric element to establish the oscillation equation of shell structure, is employed in this work. We then code the computing program in the MATLAB application and examine the verification of convergence rate and reliability of the program by comparing the data of present work with those of other exact solutions. The effects of both geometric parameters and mechanical properties of materials on the forced vibration of the structure are investigated.

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