Dynamic stability of rectangular laminated composite plates

Srinivasan, R.; Chellapandi, P.

doi:10.1016/0045-7949(86)90282-8

Cited by 97 publications

(23 citation statements)

References 6 publications

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“…Bolotin [16] explained the determination of the regions of instability by seeking periodic solutions using Fourier series expansion for Mathieu-Hill-type differential equation of the dynamic stability of elastic systems. Srinivasan and Chellapandi [17] presented the dynamic instability analysis of thin laminated rectangular plate subjected to uniaxial loading by the finite strip method and derived the regions of parametric instability using the method proposed by Bolotin [16]. Patel et al [18] studied the dynamic instability of layered anisotropic composite plates on elastic foundations with the effects of various parameters such as ply orientations, static load factor, length-to-thickness ratio, aspect ratio and elastic foundation stiffness on dynamic stability.…”

Section: Introductionmentioning

confidence: 99%

Dynamic instability analysis of rotating delaminated tapered composite plates subjected to periodic in-plane loading

Arumugam

Rajamohan

2016

Arch Appl Mech

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In this study, the dynamic instability analysis of rotating delaminated thickness tapered composite plates with different taper configurations subjected to periodic in-plane loads is performed. The governing differential equations of motion of the various configurations of a rotating thickness mid-plane delaminated tapered laminated composite plate are presented in the finite element formulation based on classical laminated plate theory including various rotational effects. The finite element formulation developed for the dynamic instability analysis of rotating delaminated tapered composite plate is validated by comparing the parametric exciting frequencies evaluated using the present finite element method (FEM) with those presented in available literature and comparing the natural frequencies of rotating delaminated tapered composite plate evaluated using the present FEM with experimentally measured results. Various parametric studies are also performed to study the effect of taper configurations, rotational speed, delamination length, delamination location and in-plane periodic loads on stability of the structure. It was seen that the influences of rotating speed on the principal DIR spectra among taper configurations and uniform plate are significant and the normalized width of principal and second instability regions of parametric resonance frequencies increase in the order of uniform, TC3, TC2 and TC1 for all the rotating speeds.

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Section: Introductionmentioning

confidence: 99%

Dynamic instability analysis of rotating delaminated tapered composite plates subjected to periodic in-plane loading

Arumugam

Rajamohan

2016

Arch Appl Mech

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“…The earlier work include the dynamic stability analysis of elastic system by Bolotin [1], the parametric instability of circular cylindrical shells by Vijayaraghavan and Evan-Iwanowski [2], and nonlinear elastic buckling and parametric excitation of a cylinder under axial loads by Yao [3]. Birman [4] and Srinivasan and Chellapandi [5] studied the dynamic stability of laminated rectangular plates. The parametric instability of plates with transverse shear deformation was investigated by Moorthy and Reddy [6] and Bert and Birman [7].…”

Section: Introductionmentioning

confidence: 99%

Dynamic stability analysis of composite laminated cylindrical panels via the mesh-free kp-Ritz method

Liew

Lee

et al. 2007

International Journal of Mechanical Sciences

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“…The dynamic stability of composite laminated plates under various dynamic in-plane loads has been investigated extensively by many researchers based on the classical plate theory and shear deformation plate theory (see, for example, Srinivasan and Chellapandi, 1986;Bert and Birman, 1987;Librescu and Thanghitham, 1990;Moorthy et al, 1990;Ganapathi et al, 1999;Patel et al, 1999;Chattopadhyay and Radu, 2000;Wang and Dawe, 2002). However, studies concerning the dynamic stability characteristics of the plate in thermal environments are scarce.…”

Section: Introductionmentioning

confidence: 99%

Dynamic stability of laminated FGM plates based on higher-order shear deformation theory

Yang

Liew

Kitipornchai

2004

Computational Mechanics

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This paper conducts a dynamic stability analysis of symmetrically laminated FGM rectangular plates with general out-of-plane supporting conditions, subjected to a uniaxial periodic in-plane load and undergoing uniform temperature change. Theoretical formulations are based on Reddy's third-order shear deformation plate theory, and account for the temperature dependence of material properties. A semi-analytical Galerkin-differential quadrature approach is employed to convert the governing equations into a linear system of Mathieu-Hill equations from which the boundary points on the unstable regions are determined by Bolotin's method. Free vibration and bifurcation buckling are also discussed as subset problems. Numerical results are presented in both dimensionless tabular and graphical forms for laminated plates with FGM layers made of silicon nitride and stainless steel. The influences of various parameters such as material composition, layer thickness ratio, temperature change, static load level, boundary constraints on the dynamic stability, buckling and vibration frequencies are examined in detail through parametric studies.

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Dynamic stability of rectangular laminated composite plates

Cited by 97 publications

References 6 publications

Dynamic instability analysis of rotating delaminated tapered composite plates subjected to periodic in-plane loading

Dynamic instability analysis of rotating delaminated tapered composite plates subjected to periodic in-plane loading

Dynamic stability analysis of composite laminated cylindrical panels via the mesh-free kp-Ritz method

Dynamic stability of laminated FGM plates based on higher-order shear deformation theory

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