Analysis of Laminated Anisotropic Cylindrical Shell by Chebyshev Collocation Method

Lin, Chih-Hsun; Jen, Ming Hwa R.

doi:10.1115/1.1574059

Cited by 7 publications

(4 citation statements)

References 8 publications

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“…Instead of using Fourier polynomials that are commonly adopted for simply supported boundary conditions, Chebyshev polynomials, applied for solving various boundary value problems (Evans and Murphy, 1981;Zhou et al, 2002;Elbarbary and Kady, 2003;Lin and Jen, 2003;Shukla et al, 2004), are used to solve the governing Equation 14(a)-(b) with appropriate boundary conditions. The general first kind of Chebyshev polynomial (Fox and Parker, 1968) is expressed as…”

Section: Methodology Of Analysismentioning

confidence: 99%

Electromechanical Analysis of a Piezoelectric Beam Used to Drive a Torsional Microactuator

Huang

Chen²,

Shiah

2007

Journal of Intelligent Material Systems and Structures

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The present paper is to analyze the electromechanical responses of a piezoelectric beam in a novel torsional microactuator designed for digital micromirror devices. With the capability of self-detecting rotating angles, the microactuator is designed to actuate high rotating angles when applied with a low voltage. Having laid the design foundation of such devices for the industry, the present work analyzes the electromechanical response of the piezoelectric beam used to drive the micromirror. An analytical expression for the axial deformation of a PZT-4 cantilever beam in response to an applied voltage is presented in this article. Also, numerical investigations are conducted to study the effect of the beam's length and thickness on its axial deformation.

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Section: Methodology Of Analysismentioning

confidence: 99%

Electromechanical Analysis of a Piezoelectric Beam Used to Drive a Torsional Microactuator

Huang

Chen²,

Shiah

2007

Journal of Intelligent Material Systems and Structures

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“…Wang et al [159] presented a method for interlaminar stress analysis in a laminated cylindrical shell. Lin and Jen [160] performed analysis of laminated anisotropic cylindrical shell by Chebyshev collocation method. Lemanski and Weaver [161] were interested in optimization of a 4-layer laminated cylindrical shell.…”

Section: Shell Geometriesmentioning

confidence: 99%

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

Qatu¹,

Asadi²,

Wang³

2012

OJCM

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Laminated composite shells are frequently used in various engineering applications including aerospace, mechanical, marine, and automotive engineering. This article reviews the recent literature on the static analysis of composite shells. It follows up with the previous work published by the first author [1-4] and it is a continuation of another recent article that focused on the dynamics of composite shells [3]. This paper reviews most of the research done in recent years (2000-2010) on the static and buckling behavior (including postbuckling) of composite shells. This review is conducted with an emphasis on the analysis performed (static, buckling, postbuckling, and others), complicating effects in both material (e.g. piezoelectric) and structure (e.g. stiffened shells), and the various shell geometries (cylindrical, conical, spherical and others). Attention is also given to the theory being applied (thin, thick, 3D, nonlinear …). However, more details regarding the theories have been described in previous work [1,3]

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“…Stanton (1988), Batard and Quentin (1992), Honarvar and Sinclair (1996), Bao et al (1997), Grinchenko (1999), and Wang and Ying (2001), treat frequency response of thin cylinders. Soldatos and Ye (1994) treat anisotropic laminated cylinders and Lin and Jen (2003) adopt the Chebyshev collocation method for the same problem. Hussein and Heyliger (1998) consider layered piezoelectric cylinders.…”

Section: Introductionmentioning

confidence: 99%

Transient response of a thin cylinder with local material inhomogeneity

El‐Raheb¹

2006

International Journal of Solids and Structures

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Analyzed is transient response of a thin cylinder with a local material inhomogeneity to a pulse of short duration. The Galerkin method is utilized to solve the inhomogeneous dynamic equations with the eigenfunctions of the homogeneous cylinder serving as trial functions. Also treated is response of the limiting cases of a disk and of a ring with the same local inhomogeneity. All limiting cases yield to analysis when modulus E is approximated by segments of constant E along the radius for the disk and circumference for the ring. Transfer matrices relating variables at the two ends of a segment combine to satisfy continuity of variables at interfaces of segments. Curvature and axial dependence make the cylinder unique in response properties that neither disk nor ring possess.

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Analysis of Laminated Anisotropic Cylindrical Shell by Chebyshev Collocation Method

Cited by 7 publications

References 8 publications

Electromechanical Analysis of a Piezoelectric Beam Used to Drive a Torsional Microactuator

Electromechanical Analysis of a Piezoelectric Beam Used to Drive a Torsional Microactuator

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

Transient response of a thin cylinder with local material inhomogeneity

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