Linear and nonlinear free and forced vibrations of graphene reinforced piezoelectric composite plate under external voltage excitation

2018 ◽  
Vol 203 ◽  
pp. 551-565 ◽  
Author(s):  
Jia-Jia Mao ◽  
Wei Zhang
Keyword(s):  
Composite Plate ◽  
Forced Vibrations ◽  
Piezoelectric Composite ◽  
External Voltage ◽  
Free And Forced Vibrations ◽  
Linear And Nonlinear

Exact Modal Analysis and Its Applications to Transverse Vibrations of Axially Travelling Strings

2004 ◽  
Author(s):  
Yuefang Wang ◽  
Xichun Ren ◽  
Lihua Huang
Keyword(s):  
Critical Speed ◽  
Hamiltonian Dynamics ◽  
Hamiltonian Function ◽  
Forced Vibrations ◽  
Expansion Theorem ◽  
Transverse Vibrations ◽  
Free And Forced Vibrations ◽  
Orthogonality Conditions ◽  
Divergence Instability ◽  
Linear And Nonlinear

The Hamiltonian dynamics based on symplectic mathematics is used to solve the transverse vibration of axially traveling strings. The Hamiltonian function is formulated and the canonical equation is developed. The exact modal functions are obtained through a linear eigenvalue analysis, and the symplectic-type orthogonality conditions of modes are derived. The expansion theorem is applied to solve the displacement response to free and forced vibrations. Unlike traditional modes of transporting strings, the exact modal functions do not suffer divergence instability, or singularity, at the critical speed, and can be easily used as the base or trial functions for solving linear and nonlinear vibration.

Nonlinear Free and Forced Vibrations of Symmetric Laminated Panels

2011 ◽  
Vol 471-472 ◽  
pp. 616-621 ◽  
Author(s):  
Alireza Shooshtari ◽  
Soheil Razavi ◽  
Hadi Ghashochi Bargh ◽  
Mohammad Homayoun Sadr-Lahidjani
Keyword(s):  
Perturbation Method ◽  
External Force ◽  
Laminated Composite ◽  
Composite Plates ◽  
Forced Vibrations ◽  
Numerical Results ◽  
Transverse Displacement ◽  
Laminated Composite Plates ◽  
Free And Forced Vibrations ◽  
Laminated Panels

In this paper, free and forced vibrations of symmetric laminated composite plates are studied analytically by using a perturbation method where the analytical results for transverse displacement are compared with the numerical results. The external force is taken to be harmonic in time and having uniform amplitude.

scholarly journals Nonlinear dynamics of rectangular plates: investigation of modal interaction in free and forced vibrations

2013 ◽  
Vol 225 (1) ◽  
pp. 213-232 ◽  
Author(s):  
Michele Ducceschi ◽  
Cyril Touzé ◽  
Stefan Bilbao ◽  
Craig J. Webb
Keyword(s):  
Nonlinear Dynamics ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Modal Interaction ◽  
Free And Forced Vibrations
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