1108 Development in Measurement Method of Living Body Flexibility by Using Vibration Analysis Model

2013 ◽  
Vol 2013.66 (0) ◽  
pp. 371-372
Author(s):  
Yasuhiro SHIMADA ◽  
Satoshi ISHIKAWA ◽  
Yousuke KOBA ◽  
Shinya KIJIMOTO
2016 ◽  
Vol 2016 ◽  
pp. 1-30 ◽  
Author(s):  
Dongyan Shi ◽  
Yunke Zhao ◽  
Qingshan Wang ◽  
Xiaoyan Teng ◽  
Fuzhen Pang

This paper presents free vibration analysis of open and closed shells with arbitrary boundary conditions using a spectro-geometric-Ritz method. In this method, regardless of the boundary conditions, each of the displacement components of open and closed shells is represented simultaneously as a standard Fourier cosine series and several auxiliary functions. The auxiliary functions are introduced to accelerate the convergence of the series expansion and eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries. The boundary conditions are modeled using the spring stiffness technique. All the expansion coefficients are treated equally and independently as the generalized coordinates and determined using Rayleigh-Ritz method. By using this method, a unified vibration analysis model for the open and closed shells with arbitrary boundary conditions can be established without the need of changing either the equations of motion or the expression of the displacement components. The reliability and accuracy of the proposed method are validated with the FEM results and those from the literature.


2021 ◽  
Vol 7 (5) ◽  
pp. 2111-2126
Author(s):  
Yang Zhou ◽  
Cuimei Li

There is a problem of low accuracy in the analysis of the vibration of the numerical solution of the nonlinear operator equation. In this work, the vibration analysis equation is constructed by the step-by-step search method, and the vibration quadrant of the equation is divided by the dichotomy method. The vibration spectrum is determined by the iteration method, and the vibration analysis model of the numerical solution of the nonlinear operator equation is constructed. The vibration analysis of the numerical solution of the nonlinear operator equation is completed based on the solution of the model and the numerical calculation and display of the step-by-step Fourier. The experimental results show that the proposed method has higher accuracy than the traditional vibration analysis method, which meets the requirements of the vibration analysis of the numerical solution of nonlinear operator equation.


2012 ◽  
Vol 2012.65 (0) ◽  
pp. 405-406
Author(s):  
Yasuhiro SIMADA ◽  
Sinya KIJIMOTO ◽  
Satosi ISIKAWA ◽  
Yosihisa TAKAYAMA ◽  
Yousuke KOBA

2016 ◽  
Vol 66 ◽  
pp. 328-340 ◽  
Author(s):  
Jialin Tian ◽  
Changfu Yuan ◽  
Lin Yang ◽  
Chunming Wu ◽  
Gang Liu ◽  
...  

2014 ◽  
Vol 513-517 ◽  
pp. 4135-4138
Author(s):  
Jian Wan

This paper studies how the external shock loads induces vibration, and proposes a method to analyze the effect of external shock loads on building structure vibration. On basis of elastic mechanics and dynamics theory, the method calculates pressure load on each bearing node of the building produced by finite element model in accordance with the nodal displacement equivalent principle, and takes the load as excitation to study vibration of the building structure. The accuracy of the analytical method is verified by comparing with classical theory and the analysis' results of other scholars. Experiments show that the vibration analysis model can efficiently perform analysis of vibration induced by uncoupled external shock for building with complex spatial structure.


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