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 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.

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.

Active Control of Geometrically Nonlinear Transient Response of Smart Laminated Composite Plate Integrated With AFC Actuator and PVDF Sensor

2010 ◽  
Author(s):  
Shravankumar B. Kerur ◽  
Anup Ghosh
Keyword(s):  
Finite Element ◽  
Active Control ◽  
Transient Response ◽  
Composite Plate ◽  
Laminated Composite ◽  
Element Formulation ◽  
Geometrically Nonlinear ◽  
Laminated Composite Plate ◽  
Nonlinear Transient ◽  
Nonlinear Transient Response

A coupled electromechanical finite element formulation for active control of geometrically nonlinear transient response of laminated composite plate is studied. First order shear deformation theory and Von Karman type nonlinear strain displacements are used. The plate is discritised using eight noded quadratic isoparametric elements with five mechanical degrees of freedom and one electrical degree of freedom per node. Newton-Raphson iterative method in association with Newmark time integration method is used to solve the nonlinear finite element equilibrium equation. Negative velocity feedback control algorithm is used to control the dynamic response of the smart laminated composite plate. Active fiber composite (AFC) layer poled in fiber direction acting as distributed actuator and PVDF layer poled in thickness direction acting as sensor are considered. Present study involves two types of actuator sensor arrangements. Case I: the substrate is sandwiched between AFC actuator and PVDF sensor. Case II: AFC actuator and PVDF sensor are collocated on top of the substrate. The effect of piezoelectric fiber orientation in actuator layer on vibration control for both cross ply and angle ply laminates are examined.

Sign in / Sign up

Export Citation Format

Share Document