Nonlocal Finite Element Formulation for Vibration

Abstract

Vibration formulation is presented for axially compressed nano beam embedded in elastic matrix. The effect of length scale is investigated using nonlocal elasticity theory. The governing equations are obtained by using the Hamilton's principle. Finite element formulations have been achieved for nonlocal Euler-Bernoulli beam theory. Global stiffness and mass matrix are obtained.

Discrete Singular Convolution and Differential Quadrature Method for Buckling Analysis of Laminated Composite Plates

“…Table 2 also listed same results for different grid numbers and methods. The method of DSC and DQ are very effective and practical methods both macro scaled mechanical problems and the nano scale problems [62][63][64][65][66][67][68]. Nonlinear analysis of nano-scaled mechanical systems will also been solved via these methods and results will presented in the next.…”

A Comparative Buckling Analysis of Silicon Carbide Nanotube and Boron Nitride Nanotube

“…To address this issue various kind of size effect theories such as nonlocal elasticity theory, couple stress theory, surface elasticity theory etc. have been used [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44].…”

What is The Correct Mechanical Model of Aorta Artery

“…Laminated composite materials have been widely used in aerospace industry, automotive industry and material engineering. Many researches have been published papers aimed to investigate the applications of laminated composite materials to shells, plates, and beams in case of static and dynamic analyses [27][28][29][30][31][32][33][34][35]. General equations of laminated composite materials can be stated as follows…”