Large amplitude free flexural vibrations of laminated composite skew plates
Citations
284 citations
Cites background from "Large amplitude free flexural vibra..."
...Singha and Ganapathi [155] presented the large amplitude free vibration analysis of thin laminated composite skew plates using finite element approach....
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90 citations
81 citations
Cites background or methods from "Large amplitude free flexural vibra..."
...[20], Singha and Ganapathi [21], Sundararajana et al....
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...Numerical methods such as finite element procedure is preferable over the analytical methods, as there is no need for an a priori assumption of the mode shapes, and the solution itself predict the mode shapes [21]....
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...[21] are changed to cubic interpolation polynomials to describe the in-plane displacements to achieve better convergence....
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...Most recently, Singha and Ganapathi [21] have employed high precision plate bending element to solve the nonlinear free vibration problem of composite skew plates....
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...Though a huge body of literature exists on the linear free vibration of isotropic and composite skew plates [21], such analysis concerning the non-linear free vibration of skew plates is sparsely treated in the literature....
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76 citations
Cites background from "Large amplitude free flexural vibra..."
...The details of element formulation are reported earlier [13,14] and not repeated here for the sake of brevity....
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...(2) is solved using finite element approach based on C(1) continuous element developed recently [13,14]....
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...The covariant components of the displacement vector u (u 1⁄4 u1(1)g+u2(2)g+u3(3)g) of a shear deformable plate can be expressed in terms of the contravariant components of the position vector r (r 1⁄4 (1)rg1+(2)rg2+(3)rg3) [13,14] as u1 (1)r; (2)r; (3)r 1⁄4 u01 (1)r; (2)r þ (3)r(1)f (1)r; (2)r , u2 (1)r; (2)r; (3)r 1⁄4 u02 (1)r; (2)r þ (3)r(2)f (1)r; (2)r , u3 (1)r; (2)r; (3)r 1⁄4 u3 (1)r; (2)r , ð1Þ...
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...In the present paper, a four-noded shear flexible quadrilateral high-precision plate-bending element developed recently [13,14] is extended to analyze the dynamic stability behavior of perfect laminated composite skew plates....
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...The efficacy of the present element for the buckling and vibration analysis of composite skew plates has already been established earlier [13,14] and are not presented here for the sake of brevity....
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75 citations
References
851 citations
"Large amplitude free flexural vibra..." refers background in this paper
...For a composite laminate of thickness h, comprising of N layers with stacking angles i (i=1; 2; : : : ; N ) and layer thicknesses hi (i = 1; 2; : : : ; N ), the necessary expression to compute the sti3ness coeKcients are available in the literature [30]....
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490 citations
"Large amplitude free flexural vibra..." refers methods in this paper
...These studies are reviewed and are well documented by Leissa [1,2], Bert [3], Sathyamoorthy [4], Chia [5], and Kapania and Raciti [6]....
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288 citations
"Large amplitude free flexural vibra..." refers methods in this paper
...These studies are reviewed and are well documented by Leissa [1,2], Bert [3], Sathyamoorthy [4], Chia [5], and Kapania and Raciti [ 6 ]....
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191 citations
"Large amplitude free flexural vibra..." refers methods in this paper
...Prathap and Varadan [22], and Sathyamoorthy and Chia [23] have investigated large amplitude vibration of anisotropic skew plates using the Galerkin method on the basis of a single term assumed vibration mode....
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...These studies are reviewed and are well documented by Leissa [1,2], Bert [3], Sathyamoorthy [4], Chia [5], and Kapania and Raciti [6]....
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