On hybrid stress, hybrid strain and enhanced strain finite element formulations for a geometrically exact shell theory with drilling degrees of freedom

1998 ◽  
Vol 43 (1) ◽  
pp. 175-192 ◽  
Author(s):  
Carlo Sansour ◽  
Jozef Bocko
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Shell Theory ◽  
Hybrid Strain ◽  
Drilling Degrees Of Freedom ◽  
Enhanced Strain ◽  
Geometrically Exact Shell ◽  
Finite Element Formulations ◽  
Hybrid Stress

Transient Response Analysis of Geometrically Nonlinear Laminated Composite Shell Structures

1996 ◽  
Author(s):  
Cho W. S. To ◽  
Bin Wang
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Composite Shell ◽  
Laminated Composite ◽  
Shell Structures ◽  
Response Analysis ◽  
Hybrid Strain ◽  
Drilling Degree Of Freedom ◽  
Shell Finite Element ◽  
Shear Deformable

Abstract The investigation reported in this paper is concerned with the prediction of geometrically large nonlinear responses of laminated composite shell structures under transient excitations by employing the hybrid strain based flat triangular laminated composite shell finite element presented here. Large deformation of finite strain and finite rotation are considered. The finite element has eighteen degrees-of-freedom which encompass the important drilling degree-of-freedom at every node. It is hinged on the first order shear deformable lamination theory. Various laminated composite shell structures have been studied and for brevity only two are presented here. It is concluded that the element proposed is very accurate and efficient. Shear locking has not appeared in the results obtained thus far. There is no zero energy mode detected in the problems studied. For nonlinear dynamic response computations, the full structural system has to be considered if accurate results are required.

scholarly journals FRACTURE MECHANICS PARAMETER COMPUTATION USING GENERALIZED FINITE ELEMENT WITH DRILLING DEGREES OF FREEDOM

2007 ◽  
Vol 63 (3) ◽  
pp. 464-474
Author(s):  
Yasuyuki KANDA ◽  
Hiroshi OKADA ◽  
Shigeo IRAHA ◽  
Jun TOMIYAMA ◽  
Genki YAGAWA
Keyword(s):  
Finite Element ◽  
Fracture Mechanics ◽  
Degrees Of Freedom ◽  
Drilling Degrees Of Freedom ◽  
Generalized Finite Element

Optimal Control of Random Vibration in Shell Structures With Embedded Piezoelectric Components

2005 ◽  
Author(s):  
Cho W. S. To ◽  
Tao Chen
Keyword(s):  
Finite Element ◽  
Random Vibration ◽  
Degrees Of Freedom ◽  
Large Scale ◽  
Shell Structures ◽  
Engineering System ◽  
Hybrid Strain ◽  
Strain Formulation ◽  
Shell Panel ◽  
Shell Finite Element

The state covariance assignment (SCA) method of Skelton and associates is applied in the present investigation to the optimal random vibration control of large scale complicated shell structures with embedded piezoelectric components. It provides a direct approach for achieving performance goals stated in terms of the root-mean-square (RMS) values which are common in many engineering system designs. The large scale shell structures embedded with piezoelectric components of complicated geometrical configurations are approximated by the hybrid strain or mixed formulation based lower order triangular shell finite element developed in the present investigation. This shell finite element has three nodes every one of which has seven degrees of freedom (dof). The latter include three translational dof, three rotational dof, and one electric potential dof. The element is a better alternative to those based on the displacement formulation and that hinged on the truly hybrid strain formulation. Representative results applying the SCA method for a shell panel embedded with piezoelectric components are included to demonstrate its simplicity of use and efficiency of implementing the proposed approach.

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