Brian Schwarz, Patrick McHargue, Mark Richardson

Sound & Vibration, Vol.52, No.2, pp. 1-6, 2018, DOI:10.32604/sv.2018.03637

Abstract In this paper, we show how Operating Deflection Shapes (ODS’s) and mode shapes can be obtained experimentally from measurements that are made using only two sensors and two short wires to connect them to a multi-channel acquisition system. This new test procedure is depicted in Figure 1. Not only is the equipment required to do a test much more cost effective, but this method can be used to test any sized test article, especially large ones.
The testing method introduced here involves moving a pair of sensors along together in a prescribed manor, and calculating the Transmissibility between them. The… More >

Shota Sadamoto, Satoyuki Tanaka, Shigenobu Okazawa

The International Conference on Computational & Experimental Engineering and Sciences, Vol.18, No.4, pp. 129-130, 2011, DOI:10.3970/icces.2011.018.129

Abstract In this presentation, large deflection analysis for thin-plate bending problem using Hermite Reproducing Kernel (HRK) approximation is presented. HRK approximation for thin-plate bending problem is one of meshfree/particle approaches and is proposed by Wang [1]. The deflection and rotations are represented by the Hermite-type approximation. In the formulation, the rotations are represented by the differentiation of deflection and the approximation is satisfied Kirchhoff Mode Reproducing Condition (KMRC). Sub-domain stabilized nodal conforming integration is adopted to enforce integration constraint in the numerical integration. Total Lagrangian method is adopted to solve thin-plate bending problem with geometrical non-linearity. Green-Lagrange strain and second Piola… More >

Ju Hye Park, Jeom Kee Paik, S.N. Atluri

The International Conference on Computational & Experimental Engineering and Sciences, Vol.19, No.3, pp. 69-70, 2011, DOI:10.3970/icces.2011.019.069

Abstract The aim of the present paper is to develop a semi-analytical method which and quickly and accurately compute the ultimate strength response of rectangular plates under combined loads and non-uniform lateral pressure. It is assumed that the plating is simply supported at four edges which are kept straight. A unique feature of developed method was found to give reasonably accurate results for practical design purpose in terms of the large deflection analysis of plates under non uniformed lateral pressure. The present paper treated by analytically solving the nonlinear governing differential equations of the elastic large deflection plate theory. It will… More >

T.S. Jang, J.S. Park, B.Y. Moon

The International Conference on Computational & Experimental Engineering and Sciences, Vol.19, No.2, pp. 55-56, 2011, DOI:10.3970/icces.2011.019.055

Abstract This paper is concerned with the numerical investigation of the beam deflection on a nonlinear elastic foundation. Traditionally, the problem of nonlinear beams has usually been examined by utilizing semi-analytical approaches involving the perturbations of small parameters or by such numerical techniques as nonlinear finite element methods. However, in this paper, the nonlinear beam problem is analyzed with the help of a new method proposed by the author (TS Jang): it involves a contraction of Banach fixed point theorem based on a transformed nonlinear integral equation. The proposed method, straightforward to apply, only requires a fairly simple iteration to find… More >

Wei Xia^1,2,*, Kun Wang¹, Haitao Yang¹, Shengping Shen¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.21, No.2, pp. 27-27, 2019, DOI:10.32604/icces.2019.05197

Abstract Panel flutter arises from the aeroelastic instability of the skin structures on the high-speed vehicles, usually in supersonic regime and combined with thermal environment. Unlike the catastrophic flutter of the wings, panel flutter tends to be treated as non-catastrophic one. The nonlinear panel flutter response is of great interest to find the fatigue loading spectra. Present work introduces an aeroelastic model for a thermal isolating panel made from functionally graded materials (FGMs). The Mindlin plate theory is employed to establish the structural equations, the first-order piston theory is adopted for the supersonic aerodynamic loads, and the von-Karman strain-displacement relation is… More >

J.W. Choi¹, S.H. Yoo¹, J.B. Kim¹, E.J. Park¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.2, No.2, pp. 47-52, 2007, DOI:10.3970/icces.2007.002.047

Abstract A semi-analytical solution by beam theory and finite element solutions are obtained for normal deflection of a plate with a surface crack under tensile stress. The semi-analytical solution consists of the deflection of a beam and the half-space or full-space solution. Also finite element solutions are obtained and compared with these analytical solutions. These solutions can be used as reference data for non-destructive evaluation of a surface crack. More >

Changwei Huang^1,*, Philip A. Williams²

CMES-Computer Modeling in Engineering & Sciences, Vol.120, No.2, pp. 261-272, 2019, DOI:10.32604/cmes.2019.06681

Abstract This paper examines the evolution of the interfacial deflection energy release rates in multilayered structures under four-point bending. The J-integral and the extended finite element method (XFEM) are adopted to investigate the evolution of the interfacial deflection energy release rates of composite structures. Numerical results not only verify the accuracy of analytical solutions for the steady-state interfacial deflection energy release rate, but also provide the evolutionary history of the interfacial deflection energy release rate under different crack lengths. In addition, non-dimensional parametric analyses are performed to discuss the effects of normalized ratios of the crack length, the elastic modulus, and… More >

A.P.S. Selvadurai^1,2, H. Nikopour²

CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.3, pp. 279-298, 2012, DOI:10.3970/cmes.2012.085.279

Abstract This paper examines the influence of a through crack on the overall flexural behaviour of a layered composite Carbon Fibre Reinforced Polymer (CFRP) plate that is fixed boundary along a circular boundary. Plates with different through crack configurations and subjected to uniform air pressure loading are examined both experimentally and computationally. In particular, the effect of crack length and its orientation on the overall pressure-deflection behaviour of the composite plate is investigated. The layered composite CFRP plate used in the experimental investigation consisted of 11 layers of a polyester matrix unidirectionally reinforced with carbon fibres. The bulk fibre volume fraction… More >

Shuncai Li^1,2,3, Shichuang Zhuo⁴, Qiang Zhang⁵

CMES-Computer Modeling in Engineering & Sciences, Vol.84, No.3, pp. 283-296, 2012, DOI:10.3970/cmes.2012.084.283

Abstract Based on the complex functions theory in elastic mechanics, the bending deflection formula expressed by the complex Fourier series is derived for the infinite plate with a circular opening at first, then the boundary conditions of the circular opening are expanded in Fourier Series, and the unknown coefficients of the Fourier series are determined by comparing coefficients method. By means of the convolution of the complex Fourier series and some basic formulas in the generalized functions theory, the natural boundary integral formula or the analytical deflection formulas expressed by the boundary displacement or loads are developed for the infinite plates… More >

Ali Kemal Baltacıoğlu¹, Ömer Civalek^1,2

CMES-Computer Modeling in Engineering & Sciences, Vol.68, No.1, pp. 1-24, 2010, DOI:10.3970/cmes.2010.068.001

Abstract Geometrically nonlinear static analysis of an anisotropic thick plate resting on nonlinear two-parameter elastic foundations has been studied. The plate formulation is based on first-order shear deformation theory (FSDT). The governing equation of bending for rectangular orthotropic thick plate is derived by using von Karman equation. The nonlinear static deflections of orthotropic plates on elastic foundation are investigated using the discrete singular convolution method. The effects of foundation, material and geometric parameters of orthotropic plates on nonlinear deflections are investigated. More >