scholarly journals Nonlinear transient response of strain rate dependent composite laminated plates using multiscale simulation

2006 ◽  
Vol 43 (9) ◽  
pp. 2602-2630 ◽  
Author(s):  
Linfa Zhu ◽  
Aditi Chattopadhyay ◽  
Robert K. Goldberg
Keyword(s):  
Strain Rate ◽  
Transient Response ◽  
Multiscale Simulation ◽  
Laminated Plates ◽  
Composite Laminated Plates ◽  
Rate Dependent ◽  
Nonlinear Transient ◽  
Nonlinear Transient Response

Geometrically Nonlinear Transient Response of Laminated Plates with Flexible Supports

2018 ◽  
Vol 18 (02) ◽  
pp. 1871002
Author(s):  
Shao-Chong Yang ◽  
Qing-Sheng Yang
Keyword(s):  
Boundary Conditions ◽  
Transient Response ◽  
Unit Length ◽  
Numerical Procedure ◽  
Laminated Plates ◽  
Geometrically Nonlinear ◽  
Laminated Plate ◽  
Nonlinear Load ◽  
Nonlinear Transient ◽  
Nonlinear Transient Response

Laminated plates are loading-bearing components that are generally connected to flexible pads and exhibit complicated mechanical responses. To investigate the geometrically nonlinear transient responses of a laminated plate with flexible pad supports, a varied constraint reaction model and a systematic numerical procedure are presented in this paper. The flexible pad supports of the plate were treated as viscoelastic boundary conditions, wherein the strip-type pad per unit length was modeled as a cantilever beam. The nonlinear Kelvin–Voigt model was developed to simulate the nonlinear viscoelastic behaviors of the flexible pads. The dynamically varied constraint reactions generated by the viscoelastic supports, which depend upon the displacement and velocity of the nodes along the plate edge, were determined by the deflection and slope equations of the beam theory used, and they were applied on the plate edges by using the nonlinear load functions. Thus, the dynamical responses of the laminated plate with viscoelastic supports were obtained. Numerical results show that the present method can effectively treat the geometrically nonlinear transient response of the laminated plate with viscoelastic supports, and it is essential to consider the effects of non-ideal boundary conditions in the nonlinear transient analysis.

scholarly journals Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Shaochong Yang ◽  
Qingsheng Yang
Keyword(s):  
Transient Response ◽  
Numerical Procedure ◽  
Laminated Plates ◽  
Force Model ◽  
Geometrically Nonlinear ◽  
Nonlinear Load ◽  
Nonlinear Transient ◽  
Elastic Restraints ◽  
Nonlinear Elastic ◽  
Nonlinear Transient Response

To investigate the dynamic behavior of laminated plates with nonlinear elastic restraints, a varied constraint force model and a systematic numerical procedure are presented in this work. Several kinds of typical relationships of force-displacement for spring are established to simulate the nonlinear elastic restraints. In addition, considering the restraining moments of flexible pads, the pads are modeled by translational and rotational springs. The displacement- dependent constraint forces are added to the right-hand side of equations of motion and treated as additional applied loads. These loads can be explicitly defined, via an independent set of nonlinear load functions. The time histories of transverse displacements at typical points of the laminated plate are obtained through the transient analysis. Numerical examples show that the present method can effectively treat the geometrically nonlinear transient response of plates with nonlinear elastic restraints.

Geometrically Nonlinear Transient Response of Laminated Plates With Nonlinear Viscoelastic Restraints

2016 ◽  
Author(s):  
Shao-Chong Yang ◽  
Qing-Sheng Yang
Keyword(s):  
Transient Response ◽  
Time History ◽  
Independent Set ◽  
Laminated Plates ◽  
Transverse Displacement ◽  
Geometrically Nonlinear ◽  
Nonlinear Viscoelastic ◽  
Nonlinear Transient ◽  
The Right ◽  
Nonlinear Transient Response

In this work, geometrically nonlinear transient response of laminated plates with nonlinear viscoelastic restraints is investigated by a numerical method, in the computational platform - MSC.Nastran. The variable constraining forces as functions of dynamic displacements and velocities are added to the right-hand side of equation of motion as additional applied loads. These loads are represented by an independent set of functions that satisfy the various constraint conditions for specific cases. The nonlinear equations are solved by using the load increments scheme in conjunction with Newton-Raphson iteration. The time history of transverse displacement at a typical point is given through a series of transient analysis. Then the comparisons of the responses for different parameters of the Kelvin-Voigt model and boundary conditions are made. The numerical results show that the present method is validated to be effective for treating geometrically nonlinear transient problems with nonlinear viscoelastic restraints.

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