Anisotropic elastic beams with axially distributed loads

Omri Rand; Vladimir Rovenski

doi:10.1007/978-90-481-3467-0_21

Anisotropic elastic beams with axially distributed loads

Omri Rand
, Vladimir Rovenski

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The paper provides a recurrence exact formulation for homogeneous elastic beams of generic Cartesian anisotropy under axially polynomial loading distributions. The model is derived by solution levels that consistently reduce the problem to a recurrence sequence of two-dimensional boundary value problems. It therefore represents a generalization of Lekhnitskii's model, and supplies a comprehensive solution methodology for homogeneous anisotropic beams.

Original language	English
Title of host publication	Advances in Mathematical Modeling and Experimental Methods for Materials and ructures
Subtitle of host publication	The Jacob Aboudi Volume
Pages	269-283
Number of pages	15
DOIs	https://doi.org/10.1007/978-90-481-3467-0_21
State	Published - 2010

Publication series

Name	Solid Mechanics and its Applications
Volume	168
ISSN (Print)	0925-0042

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
Mechanical Engineering

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10.1007/978-90-481-3467-0_21

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AB - The paper provides a recurrence exact formulation for homogeneous elastic beams of generic Cartesian anisotropy under axially polynomial loading distributions. The model is derived by solution levels that consistently reduce the problem to a recurrence sequence of two-dimensional boundary value problems. It therefore represents a generalization of Lekhnitskii's model, and supplies a comprehensive solution methodology for homogeneous anisotropic beams.

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SN - 9789048134663

T3 - Solid Mechanics and its Applications

SP - 269

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BT - Advances in Mathematical Modeling and Experimental Methods for Materials and ructures

ER -

Anisotropic elastic beams with axially distributed loads

Abstract

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