Publication

A PSDT shell finite element formulation including structural damping

Thomas Gmür, Alain Schorderet, Marco Matter, Joël Cugnoni
2010
Journal Articles

Abstract

This paper describes efficient C-0-compatible finite elements for modelling structurally damped laminated composite plates and shells under harmonic vibrations. Based upon a shear deformation theory of any order p (PSDT), the elements are well adapted for evaluating, from given elastic and damping properties of the material, the global modal response (mode shapes, natural frequencies and modal loss factors) of multilayered structures. Numerical test cases are presented in order to validate the proposed formulation. Results show that this shell model is accurate and more efficient than the 3D solid formulation for analyzing thin to moderately thick structurally damped plates or shells. (C) 2010 Elsevier Ltd. All rights reserved.

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https://infoscience.epfl.ch/entities/publication/5d475d12-1c03-491d-af39-7bb491da799a

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Thomas Gmür, Alain Schorderet, Marco Matter, Joël Cugnoni
2010
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/5d475d12-1c03-491d-af39-7bb491da799a

About this result

Related concepts (23)

Deformation (physics)

In physics and continuum mechanics, deformation is the transformation of a body from a reference configuration to a current configuration. A configuration is a set containing the positions of all particles of the body. A deformation can occur because of external loads, intrinsic activity (e.g. muscle contraction), body forces (such as gravity or electromagnetic forces), or changes in temperature, moisture content, or chemical reactions, etc. Strain is related to deformation in terms of relative displacement of particles in the body that excludes rigid-body motions.

Harmonic

A harmonic is a sinusoidal wave with a frequency that is a positive integer multiple of the fundamental frequency of a periodic signal. The fundamental frequency is also called the 1st harmonic, the other harmonics are known as higher harmonics. As all harmonics are periodic at the fundamental frequency, the sum of harmonics is also periodic at that frequency. The set of harmonics forms a harmonic series. The term is employed in various disciplines, including music, physics, acoustics, electronic power transmission, radio technology, and other fields.

Finite strain theory

In continuum mechanics, the finite strain theory—also called large strain theory, or large deformation theory—deals with deformations in which strains and/or rotations are large enough to invalidate assumptions inherent in infinitesimal strain theory. In this case, the undeformed and deformed configurations of the continuum are significantly different, requiring a clear distinction between them. This is commonly the case with elastomers, plastically-deforming materials and other fluids and biological soft tissue.

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