Journal ArticleDOI
A Comprehensive Elliptic Integral Solution to the Large Deflection Problems of Thin Beams in Compliant Mechanisms
Aimei Zhang,Guimin Chen +1 more
TLDR
In this paper, a comprehensive solution based on the elliptic integrals is proposed for solving large deflection problems in compliant mechanisms by explicitly incorporating the number of inflection points and the sign of the end-moment load in the derivation.Abstract:
The elliptic integral solution is often considered to be the most accurate method for analyzing large deflections of thin beams in compliant mechanisms. In this paper, a comprehensive solution based on the elliptic integrals is proposed for solving large deflection problems. By explicitly incorporating the number of inflection points and the sign of the end-moment load in the derivation, the comprehensive solution is capable of solving large deflections of thin beams with multiple inflection points and subject to any kinds of load cases. The comprehensive solution also extends the elliptic integral solutions to be suitable for any beam end angle. Deflected configurations of complex modes solved by the comprehensive solution are presented and discussed. The use of the comprehensive solution in analyzing compliant mechanisms is also demonstrated by examples.read more
Citations
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Journal ArticleDOI
Modeling Large Planar Deflections of Flexible Beams in Compliant Mechanisms Using Chained Beam-Constraint-Model
Fulei Ma,Guimin Chen +1 more
Journal ArticleDOI
Kinetostatic and Dynamic Modeling of Flexure-Based Compliant Mechanisms: A Survey
TL;DR: This paper surveys and compares the conceptual ideas, key advances, and applicable scopes, and open problems of the state-of-the-art kinetostatic and dynamic modeling methods for compliant mechanisms in terms of small and large deflections.
Journal ArticleDOI
Multi-objective crashworthiness optimization for an auxetic cylindrical structure under axial impact loading
TL;DR: In this paper, a crash box based on the cylindrical cellular structure with negative Poisson's ratio (NPR) is proposed, where the unit cell for the NPR structure is the double-V configuration, which can contract in the radial direction when compressed to enhance the stiffness.
Journal ArticleDOI
Kinetostatic Modeling of Fully Compliant Bistable Mechanisms Using Timoshenko Beam Constraint Model
Guimin Chen,Fulei Ma +1 more
TL;DR: In this article, an analytical kinetostatic model is developed for FCBMs based on the beam constraint model (BCM) that captures the geometric nonlinearities of beam flexures that undergo relatively small deflections.
Proceedings ArticleDOI
Modeling Large Deflections of Initially Curved Beams in Compliant Mechanisms Using Chained Beam-Constraint-Model
TL;DR: A general and accurate method for modeling large planar deflections of initially curved beams of uniform cross section, which can be easily adapted to curved beam of various shapes and is accurate enough to capture the relevant nonlinear load-deflection characteristics.
References
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Book
Handbook of Elliptic Integrals for Engineers and Physicists
Paul F. Byrd,Morris D. Friedman +1 more
Journal ArticleDOI
Large deflection of cantilever beams
K. E. Bisshopp,D. C. Drucker +1 more
TL;DR: In this paper, the authors derived the solution for large deflection of a cantilever beam based on the fundamental Bernoulli-Euler theorem, which states that the curvature is proportional to the bending moment.
Journal ArticleDOI
A Pseudorigid-Body 3R Model for Determining Large Deflection of Cantilever Beams Subject to Tip Loads
TL;DR: In this paper, a pseudo-rigid body (PRB) 3R model is proposed for approximating the de∞ection of a cantilever beam subject to a general tip load.
Journal ArticleDOI
Large deflection of cantilever beams with geometric non-linearity: Analytical and numerical approaches
TL;DR: In this article, non-linear shooting and Adomian decomposition methods have been proposed to determine the large deflection of a cantilever beam under arbitrary loading conditions using elliptic integral solutions.
Journal ArticleDOI
Modeling of Flexural Beams Subjected to Arbitrary End Loads
Chris Kimball,Lung-Wen Tsai +1 more
TL;DR: In this paper, a model for a cantilever beam with end moment acting in the opposite direction as the end force was presented, which may or may not cause an inflection point.
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Modeling Large Planar Deflections of Flexible Beams in Compliant Mechanisms Using Chained Beam-Constraint-Model
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