Analysis of a Fixed-Guided Compliant Beam with an Inflection Point Using the Pseudo-Rigid-Body Model (Prbm) Concept

Abstract

This paper provides an efficient method of analysis for a fixed-guided compliant beam with an inflection point, subjected to beam end load or displacement boundary conditions, or a combination thereof. To enable this, such a beam is modeled as a pair of well-established pseudo-rigid-body models (PRBMs) for fixed-free compliant beam segments. The analysis procedure relies on the properties of inflection in developing the necessary set of static equilibrium equations for solution. The paper further discusses the multiplicity of possible solutions, including displacement configurations, for any two specified beam end boundary conditions, depending on the locations of the effecting force and/or displacement boundary conditions. A unique solution may exist when a third beam end boundary condition is specified; however, this selection is not unconditional. A deflection domain concept is proposed to assist with the selection of the third boundary condition in a more realistic manner.

Meeting Name

ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Stress; Equilibrium (Physics); Boundary-Value Problems; Deflection; Displacement

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2012 American Society of Mechanical Engineers (ASME), All rights reserved.

Publication Date

01 Jan 2012

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