scholarly journals Dynamic Response of Arch Structure according to Natural Frequency Ratio between Arch and Columns

2013 ◽  
Vol 13 (3) ◽  
pp. 65-72 ◽  
Author(s):  
Keun-Young Seok ◽  
Joo-Won Kang
2012 ◽  
Vol 499 ◽  
pp. 238-242
Author(s):  
Li Zhang ◽  
Hong Wu ◽  
Yan Jue Gong ◽  
Shuo Zhang

Based on the 3D model of refrigeration's compressor by Pro/E software, the analyses of theoretical and experimental mode are carried out in this paper. The results show that the finite element models of compressor have high precision dynamic response characteristics and the natural frequency of the compressor, based on experimental modal analysis, can be accurately obtained, which will contribute to further dynamic designs of mechanical structures.


2014 ◽  
Vol 538 ◽  
pp. 79-82
Author(s):  
Zhi Dong Huang ◽  
Yun Pu Du ◽  
Han Xiao Li ◽  
Xiu Li Sun ◽  
Yu Wang

The characteristics of oval gear is analyzed. The parameters of oval gear are chosen and calculated. The three-dimensional solid modeling of oval gear is achieved. The dynamic model of oval gear is established by FEM and modal analysis of oval gear is investigated. The natural frequency and major modes of the first six orders are clarified. The method and the result facilitate the dynamic design and dynamic response analysis of oval gear.


2000 ◽  
Vol 123 (1) ◽  
pp. 53-60 ◽  
Author(s):  
M. J. Leamy ◽  
O. Gottlieb

A spatial string model incorporating a nonlinear (and nonconservative) material law is proposed using finite deformation continuum mechanics. The resulting model is shown to reduce to the classical nonlinear string when a linear material law is used. The influence of material nonlinearities on the string’s dynamic response to excitation near a transverse natural frequency is shown to be small due to their appearance at high orders only. Material nonlinearities appear at low order in the equations for excitation near a longitudinal natural frequency, and a solution for this case is developed by applying a second order multiple scales method directly to the partial differential equations. The material nonlinearities are found to influence both the degree of nonlinearity in the response and its softening or hardening nature.


2015 ◽  
Vol 110 ◽  
pp. 62-76 ◽  
Author(s):  
Xiangxi Han ◽  
Wei Lin ◽  
Youhong Tang ◽  
Chengbi Zhao ◽  
Karl Sammut

Author(s):  
Zhenfang Xin ◽  
S. A. Neild ◽  
D. J. Wagg

The normal form technique is an established method for analysing weakly nonlinear vibrating systems. It involves applying a simplifying nonlinear transform to the first-order representation of the equations of motion. In this paper we consider the normal form technique applied to a forced nonlinear system with the equations of motion expressed in second-order form. Specifically we consider the selection of the linearised natural frequencies on the accuracy of the normal form prediction of sub- and superharmonic responses. Using the second-order formulation offers specific advantages in terms of modeling lightly damped nonlinear dynamic response. In the second-order version of the normal form, one of the approximations made during the process is to assume that the linear natural frequency for each mode may be replaced with the response frequencies. Here we will show that this step, far from reducing the accuracy of the technique, does not affect the accuracy of the predicted response at the forcing frequency and actually improves the predictions of sub and superharmonic responses. To gain insight into why this is the case, we consider the Duffing oscillator. The results show that the second-order approach gives an intuitive model of the nonlinear dynamic response which can be applied to engineering applications with weakly nonlinear characteristics.


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