Forced and Free Vibrations of Rectangular Sandwich Plates With Parametric Stiffness Modulation

Sorokin, Sergey; Ershova, O.A.

doi:10.1006/jsvi.2002.5159

Cited by 12 publications

(5 citation statements)

References 14 publications

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“…The lengths of the panel in the x and y directions are denoted as l x and l y , respectively. The Hamiltonian of a vibrating sandwich panel in the absence of external forcing is [3] where t1 and t2 are the initial and final time, w is the displacement of the mid-surface of the sandwich panel in the z direction, θx and θy are shear angles between the mid-surfaces of the face sheets about the y and x axes respectively, and ( )…”

Section: Natural Frequencies and Mode Shapesmentioning

confidence: 99%

“…This paper focuses on the dynamic characteristics of the newly developed lattice core sandwich panels. Based on the theories developed by Sorokin and Ershova [3] and Lok and Cheng [4], a Hamiltonian of the sandwich panel is formulated and the governing equations are derived. The vibration characteristics of the sandwich panel with pyramidal cores are assessed.…”

Section: Introductionmentioning

confidence: 99%

“…3, tensile yield stress σ Y = 205MPa. Assume that the dimensions of the panel are: h = 2.2mm, h c = , a = 0.59mm, l x = l y = 329.52mm.…”

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confidence: 99%

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Vibrations of Sandwich Panels with Pyramidal Truss Cores

Liu

Yang

2008

AMR

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This paper is disserted to the vibrations of the sandwich panels with pyramidal truss cores. Firstly, based on the Hamilton principle the governing equations of a sandwich panel with pyramidal truss cores are obtained and the eigenfrequencies of the sandwich panel is studied. Then the dynamic response of the sandwich subjected to uniformly distributed sinusoidal loading is studied. The influences of the sizes of the panel on the eigenfrequencies of the panel are discussed. The maximum deflections of the panels of equal mass subjected to the same loading are compared.

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Section: Natural Frequencies and Mode Shapesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vibrations of Sandwich Panels with Pyramidal Truss Cores

Liu

Yang

2008

AMR

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“…The lengths of the panel in the x and y directions are denoted as lx and ly, respectively. The sandwich theory developed by Skvortsov and Sorokin [6] is employed to analyze the vibrations of sandwich panels. By applying Hamilton's variation principle, the equations of motion are obtained as…”

Section: Basic Equationsmentioning

confidence: 99%

Optimal Control of Sandwich Panels with Pyramidal Truss Cores Based on Energy Criterion

Liu

Yang

2008

AMR

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This paper is addressed to the optimal control of the simply supported sandwich panel with pyramidal truss cores. Firstly, according to the sandwich theory proposed by Sorokin and Ershova, the eigenfrequencies of the sandwich panel are studied. Then based on the energy criterion, the weight coefficient matrix Q and R for the linear quadratic regulator method are obtained. By solving the Riccati equation, the displacement and control force are given. The curves for the displacement response at the center of the plate are shown. From the numerical results, it is found that this method is effective in suppressing the vibration of the sandwich panel with pyramidal truss cores.

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“…Sorokin et al [12] applied active control to the resonant vibrations of a rectangular sandwich plate performed by the parametric stiffness modulation.…”

Section: Introductionmentioning

confidence: 99%

Vibration suppression in a twin-tail system to parametric and external excitations

Amer

Bauomy

Sayed

2009

Computers & Mathematics with Applications

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a b s t r a c tIn this paper, the dynamical system of a twin-tail aircraft, which is described by two coupled second order nonlinear differential equations having both quadratic and cubic nonlinearities are considered, solved and controlled. The system is subjected to both multi-parametric and multi-external excitations. The method of multiple time scale perturbation is applied to solve the nonlinear differential equations up to the two order approximations. The stability of the system is investigated applying both frequency response equations and phase plane method. We used two simple active control laws based on the linear negative velocity and acceleration feedback. The effects of the different parameters are studied numerically. A comparison is made with the available published work.Published by Elsevier Ltd

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Forced and Free Vibrations of Rectangular Sandwich Plates With Parametric Stiffness Modulation

Cited by 12 publications

References 14 publications

Vibrations of Sandwich Panels with Pyramidal Truss Cores

Vibrations of Sandwich Panels with Pyramidal Truss Cores

Optimal Control of Sandwich Panels with Pyramidal Truss Cores Based on Energy Criterion

Vibration suppression in a twin-tail system to parametric and external excitations

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