Accurate stress analysis of laminated composite and sandwich plates

Chanda, Aniket; Sahoo, Rosalin

doi:10.1177/0309324720921297

Cited by 10 publications

(1 citation statement)

References 63 publications

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“…The importance of accurate static and dynamic analysis has enhanced with the large scale demand of such hybrid panels. It is also evident that a higher order shear deformation model can produce results close to the exact solutions from the research works 49–54 organized for improving the accuracy of the solutions which is directly the measure of accurate response. It is observed after exploring the literature that the response of smart composite plates with PFRC actuator are derived using the kinematics of FSDT and HSDT’s with higher number of field variables.…”

Section: Introductionmentioning

confidence: 80%

Transient analysis of smart composite laminate

Sahoo

Chanda

2020

The Journal of Strain Analysis for Engineering Design

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In the present study, the transient analysis of smart laminated composite plates is presented analytically using inverse hyperbolic zigzag theory. This theory is displacement based with five unknown primary mid-plane variables in conjunction with the zigzag parameters resembling the membrane and the bending components. The inter-laminar continuity conditions of transverse shear stresses at the interfaces of the smart composite plate are artificially enforced. The dynamic version of principle of virtual work is used to derive the basic equations and solved subsequently with the Navier’s solution technique. Newmark’s time integration scheme is adopted to obtain the solutions of the coupled ordinary differential equations in the time frame. The equilibrium equations of elasticity are employed in order to obtain accurate estimation of transverse shear stresses. Numerical problems on diaphragm supported smart composite plate are solved by evaluating the static responses and comparing them with elasticity solutions in the existing literature. Then the transient responses are derived for a number of time-dependent electro-mechanical loads such as triangular, sine, ramp, and staircase variation. Results show excellent accuracy with the elasticity solutions available in the literature. Further, the dynamic controlling capacity of the piezoelectric layer is studied by evaluating the electrical loads that diminish the mechanical vibrations from the system.

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Section: Introductionmentioning

confidence: 80%

Transient analysis of smart composite laminate

Sahoo

Chanda

2020

The Journal of Strain Analysis for Engineering Design

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Development of analytical and FEM solutions for static and dynamic analysis of smart piezoelectric laminated composite plates on elastic foundation

2023

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This paper proposes new analytical and finite element solutions for studying the effects of elastic foundations on the uncontrolled and controlled static and vibration responses of smart multi-layered laminated composite plates with integrated piezoelectric layers, acting as actuators and sensors. A non-polynomial higher-order plate theory with zigzag kinematics involving a trigonometric function and a local segmented zigzag function is adopted for the first time for modeling the deformation of a smart piezoelectric laminated composite plate supported on an elastic foundation. This model has only five independent primary variables like that of the first-order shear deformation theory, yet it considers the realistic parabolic behavior of the transverse shear stresses across the thickness of the laminated composites plates, and also maintains the continuity conditions of transverse shear stresses at the interfaces of the laminated plates. A two-parameter foundation model, namely Pasternak’s foundation, is used to model the deformation and shear interactions of the elastic foundation. The governing set of equations is derived by implementing Hamilton’s principle and variational calculus. Two different solution methods, namely, a generalized closed-form analytical solution of Navier-type, and a C0 isoparametric finite element (FE) formulation, are developed for solving the governing set of equations. The solutions in the time domain are obtained with Newmark’s average acceleration method. Comprehensive parametric studies are presented to investigate the influence of elastic foundation parameters, piezoelectric layers, loading, and boundary conditions on the static and dynamic responses of the smart composite plates with piezoelectric layers. The effects of the elastic foundations on the vibration control of the smart composite plates are also presented by coupling the piezoelectric actuator and sensor with a feedback controller. Several benchmark results are presented to show the influence of the various material and geometrical parameters on the controlled and uncontrolled responses of the smart plates, and also the significant effect of the elastic foundations on the static and dynamic responses of the smart structures. The results obtained are in very good agreement with the available literature, and it can be concluded that the proposed analytical solution and FE formulation can be efficiently used to model the static and dynamic electro-elastic behavior of smart laminated plates supported on elastic foundations.

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