Nonlinear Analysis of Plates and Shells by the Incremental Procedure Using a Mixed Model of the Finite Element Method

1980 ◽  
Vol 23 (186) ◽  
pp. 1945-1951 ◽  
Author(s):  
Hitoshi WADA ◽  
Yoshihiro TAKI ◽  
Tohsaku TAKAMURA ◽  
Tohru NISHIMURA
2015 ◽  
Vol 62 (1) ◽  
pp. 101-114 ◽  
Author(s):  
Iwona Adamiec-Wójcik ◽  
Andrzej Nowak ◽  
Stanisław Wojciech

Abstract The rigid finite element method (RFEM) has been used mainly for modelling systems with beam-like links. This paper deals with modelling of a single set of electrodes consisting of an upper beam with electrodes, which are shells with complicated shapes, and an anvil beam. Discretisation of the whole system, both the beams and the electrodes, is carried out by means of the rigid finite element method. The results of calculations concerned with free vibrations of the plates are compared with those obtained from a commercial package of the finite element method (FEM), while forced vibrations of the set of electrodes are compared with those obtained by means of the hybrid finite element method (HFEM) and experimental measurements obtained on a special test stand.


1991 ◽  
Vol 40 (5) ◽  
pp. 1151-1167 ◽  
Author(s):  
J.J. Lin ◽  
M. Fafard ◽  
D. Beaulieu ◽  
B. Massicotte

2014 ◽  
Vol 915-916 ◽  
pp. 205-208
Author(s):  
Sheng Bin Wu ◽  
Xiao Bao Liu

The theory of plates and shells is not adapted to design thickness for the multi-holes plates in engineering. A new method to quickly optimize the thickness based on the finite element method theory was put forward. The method combined the theory of plate with the finite element method to establish a mathematical model and analyzed the influences of load, constraint and complexity on design error. The practices demonstrated that the proposed design method is effective and feasible.


2020 ◽  
Vol 15 (4) ◽  
pp. 225-251
Author(s):  
Xin Jiang ◽  
Kang Yao ◽  
Hanyan Gu ◽  
Zhenkun Li ◽  
Yanjun Qiu

Two representative programs, MICH-PAVE and KENLAYER, are selected and compared to many key aspects of their analysis algorithms to achieve an in-depth understanding of the features of the Finite Element Method and elastic layered system theory in nonlinear material analysis of the structure of asphalt pavement. Furthermore, by conducting a case study, the impact of using different analysis methods on the calculation results is presented. Moreover, the feasibility of the equivalent resilient modulus obtained by the Finite Element Method is discussed. The results show that the difference among the nonlinear analysis algorithms used by the two software packages is mainly reflected in the determination of the initial resilient modulus, the stress correction, and the convergence condition. Besides, the Finite Element Method could consider the variation of the resilient modulus induced by the change in the stress condition in both the radial and the depth directions simultaneously. In contrast, the theory of the elastic layered system only considers the dependence of the resilient modulus on the stress in the depth direction. Additionally, the use of diverse nonlinear analysis methods has different levels of impact on mechanical responses. Finally, the equivalent resilient modulus obtained by nonlinear analysis can be used to calculate mechanical responses of pavement structure except the surface deflection in a linear analysis.


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