If L is fixed, there is a local minimum at t/ w = 1. It is obvious that increasing the length can significantly decrease F, which is preferred if the space is allowed. The organization of this paper is as follows: Section 2 presents a brief summary on various equations for predicting the maximum stress in torsional beams two maximum stress equations that are symmetric with respect to the two dimensions of the cross-section are formulated in Section 3 Section 4 offers some design insights for outside lamina emergent joints using the proposed equations and Section 5 has concluding remarks. To complement previous work, this paper is going to address this absence. However, there still lacks an equation for predicting the maximum stress in torsional beams that is symmetric with respect to the two dimensions. These equations had been used in characterizing parasitic motions of compliant mechanisms and spatial deflections modeling. In our previous work, general compliance equations that are symmetric with respect to the two dimensions were obtained to facilitate the design of torsional beams in compliant mechanisms. This is especially true for an optimization design process considering that the two dimensions of the torsion beam(s) may change greatly during the design iteration process including the relative size of the two dimensions. This situation might be troublesome and error-prone during the design phase because we always do not know which dimension is larger in advance. However, before using these equations, one of the two dimensions (i.e., the thickness and the width) of the cross-section must be defined as the wider of the two dimensions. There are several design equations available for calculating the torsional compliance and maximum torsion stress of a rectangular cross-section beam. There have been successful designs utilizing torsional deflections, for example, a split-tube flexure based on the torsion of an open-section hollow shaft was presented, a revolute joint comprised of two crossed torsion plates which shows a good performance in resisting axis drift was presented, torsional micromirrors were proposed for optical switches and optical displays, a torsional micro-resonator was fabricated for mass sensing, lamina emergent torsional (LET) joints were devised to facilitate the design of compliant mechanisms that can be fabricated from a planar material but have motion that emerges out of the fabrication plane and were employed in precision adjustment mechanisms, torsion hinges were proposed as surrogate folds in origami-based engineering design, and torsional beams were successfully used for achieving static balancing of an inverted pendulum. In fact, torsional deflections could be another valuable source for obtaining mobility in compliant mechanisms. In most compliant mechanisms, the compliant elements are designed to produce motion through bending deflections. Intended as an introduction to the area, the Handbook avoids technical jargon to assist non engineers involved in product design, inventors and engineers in finding clever solutions to problems of design and function.A compliant mechanism achieves its mobility through the deflections of its compliant elements. Breadth of topics covered also makes the book a useful reference for more advanced readers.Practical approach is ideal for potential practitioners who would like to realize designs with compliant mechanisms, members and elements.Helps readers appreciate the advantages that compliant mechanisms have to offer.
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Summarizes a vast body of knowledge in easily understood diagrams and explanations.Covers all aspects pertaining to classification, elements, mechanisms and applications of compliant mechanisms.Fully illustrated throughout to be easily understood and accessible at introductory levels.It also provides chapters on the basic background in compliant mechanisms, the categories of compliant mechanisms, and an example of how the Compendium can be used to facilitate compliant mechanism design. It comprises an extensive categorization of devices that can be used to help readers identify compliant mechanisms related to their application. A fully illustrated reference book giving an easy-to-understand introduction to compliant mechanismsĪ broad compilation of compliant mechanisms to give inspiration and guidance to those interested in using compliant mechanisms in their designs, the Handbook of Compliant Mechanisms includes graphics and descriptions of many compliant mechanisms.