Compliant Mechanisms: Design of Flexure Hinges by Nicolae Lobontiu

By Nicolae Lobontiu

Flexure hinges carry a number of merits over classical rotation joints, together with no friction losses, no use for lubrication, no hysteresis, compactness, skill to be used in small-scale purposes, ease of fabrication, almost no meeting, and no required upkeep. Compliant Mechanisms: layout of Flexure Hinges presents sensible solutions to the current and destiny wishes of effective layout, research, and optimization of units that comprise flexure hinges. With a hugely unique procedure the text:Discusses new and classical varieties of flexure hinges (single-, - and multiple-axis) for 2- and third-dimensional applicationsAddresses quite a lot of commercial purposes, together with micro- and nano-scale mechanismsQuantifies flexibility, precision of rotation, sensitivity to parasitic loading, strength intake, and pressure obstacles via closed-form compliance equationsOffers a unitary presentation of person flexure hinges as fully-compliant participants through closed-form compliance (spring charges) equationsFully defines the lumped-parameter compliance, inertia and damping houses of flexure hinges Develops a finite point method of compliant mechanisms through giving the basic formula of recent flexure hinge line elementsIncorporates extra complex themes devoted to flexure hinges together with huge deformations, buckling, torsion, composite flexures, form optimization and thermal effectsCompliant Mechanisms: layout of Flexure Hinges offers functional solutions and instructions to the desires of successfully designing, interpreting, and optimizing units that come with flexure hinges. It comprises ready-to-use plots and easy equations describing a number of flexure kinds for the pro that wishes quickly options to present functions. The booklet additionally offers self-contained, easy-to-apply mathematical instruments that offer adequate suggestions for real-time challenge fixing of additional functions.

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A brief discussion will explore the taxonomy of flexure hinges, based on their functional principles and associated geometric configuration. 1. The sensitive axis, as discussed in Chapter 1, defines the operational motion and the main function of a flexure hinge, which is designed to produce limited relative rotation between two adjacent rigid members. The flexure hinges that pertain to the single-axis category must be sensitive only in rotation about one axis and, therefore, to bending that generates this type of motion.

The Tresca theory (first mentioned by Coulomb) specifies that a ductile material will yield when the maximum shear stress in the body reaches the critical shear stress in the simple tension/compression test. 39) where the principal stresses σ1, σ2, and σ3, are given in Eq. 37). 39) indicates that three expressions must be utilized and compared in order to determine the equivalent stress by the Tresca criterion. The von Mises criterion (also known as the Huber–von Mises–Hencki criterion, after the researchers that have formulated it) states that the failure of a member under a complex state of stress occurs when its energy of distortion equals the critical energy of distortion in the uniaxial tension/ compression test.

To name just a few examples. A few remarks will be made in the following regarding the application of the pseudo-rigid-body model to compliant mechanisms that incorporate flexure hinges of the types discussed in this book. A first question that arises is whether a flexure hinge can be comprehensively represented as a purely rotational joint equipped with a torsional spring. 10 illustrates a single-axis flexure hinge with a bending moment, shearing force, and axial load acting at one end, as well as the corresponding torsional spring model that results from the pseudo-rigid-body approach.

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