COMPOSITE ELEMENT METHOD FOR VIBRATION ANALYSIS OF STRUCTURE, PART I: PRINCIPLE ANDC0ELEMENT (BAR)

1998 ◽  
Vol 218 (4) ◽  
pp. 619-658 ◽  
Author(s):  
P. Zeng
Keyword(s):  
Vibration Analysis ◽  
Composite Element ◽  
Composite Element Method ◽  
Element Method

scholarly journals An Introduction to the Composite Element Method Applied to the Vibration Analysis of Trusses

2002 ◽  
Vol 9 (4-5) ◽  
pp. 155-164 ◽  
Author(s):  
Marcos Arndt ◽  
Roberto Dalledone Machado ◽  
Mildred Ballin Hecke
Keyword(s):  
Classical Theory ◽  
Vibration Analysis ◽  
Degrees Of Freedom ◽  
Mode Shapes ◽  
Shape Functions ◽  
Element Mesh ◽  
Closed Form Solutions ◽  
Composite Element ◽  
Composite Element Method ◽  
Element Method

This paper introduces a new type of Finite Element Method (FEM), called Composite Element Method (CEM). The CEM was developed by combining the versatility of the FEM and the high accuracy of closed form solutions from the classical analytical theory. Analytical solutions, which fulfil some special boundary conditions, are added to FEM shape functions forming a new group of shape functions. CEM results can be improved using two types of approach: h-version and c-version. The h-version, as in FEM, is the refinement of the element mesh. On the other hand, in the c-version there is an increase of degrees of freedom related to the classical theory (c-dof). The application of CEM in vibration analysis is thus investigated and a rod element is developed. Some samples which present frequencies and vibration mode shapes obtained by CEM are compared to those obtained by FEM and by the classical theory. The numerical results show that CEM is more accurate than FEM for the same number of total degrees of freedom employed. It is observed in the examples that the c-version of CEM leads to a super convergent solution.

scholarly journals Homotopy Iteration Algorithm for Crack Parameters Identification with Composite Element Method

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Ling Huang ◽  
Zhongrong Lv ◽  
Weihuan Chen ◽  
Jike Liu
Keyword(s):  
Dynamic Responses ◽  
Iteration Algorithm ◽  
Crack Model ◽  
Open Crack ◽  
Time Duration ◽  
Cracked Beam ◽  
Composite Element ◽  
Direct Integration Method ◽  
Composite Element Method ◽  
Element Method

An approach based on homotopy iteration algorithm is proposed to identify the crack parameters in beam structures. In the forward problem, a fully open crack model with the composite element method is employed for the vibration analysis. The dynamic responses of the cracked beam in time domain are obtained from the Newmark direct integration method. In the inverse analysis, an identification approach based on homotopy iteration algorithm is studied to identify the location and the depth of a cracked beam. The identification equation is derived by minimizing the error between the calculated acceleration response and the simulated measured one. Newton iterative method with the homotopy equation is employed to track the correct path and improve the convergence of the crack parameters. Two numerical examples are conducted to illustrate the correctness and efficiency of the proposed method. And the effects of the influencing parameters, such as measurement time duration, measurement points, division of the homotopy parameter and measurement noise, are studied.

Vibration Response Analysis of a Stepped Beam with Crack Using Composite Element Method

2011 ◽  
Vol 199-200 ◽  
pp. 835-838
Author(s):  
Xu Bin Lu ◽  
Zhong Rong Lv ◽  
Ji Ke Liu
Keyword(s):  
Forced Vibration ◽  
Vibration Response ◽  
Dynamic Responses ◽  
Response Analysis ◽  
Crack Model ◽  
Composite Element ◽  
Stiffness Reduction ◽  
Stepped Beam ◽  
Composite Element Method ◽  
Element Method

The composite element method is utilized to discretise a stepped Euler-Bernoulli beam with a crack. The local stiffness reduction due to the crack is introduced by using a simplified crack model. The finite element equation for the forced vibration analysis is obtained using the composite element method (CEM). The forced vibration response of the cracked stepped beam is numerically calculated using Newmark integration method. Numerical results indicate that the position and depth of a crack affects the low and high natural frequencies and modes of a cantilever beam, respectively. And the position of the crack has significant effects on the dynamic responses of the beam.

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