Compliant Mechanisms: Design of Flexure Hinges by Nicolae Lobontiu

By Nicolae Lobontiu

Flexure hinges carry numerous merits over classical rotation joints, together with no friction losses, little need for lubrication, no hysteresis, compactness, means to be used in small-scale functions, ease of fabrication, almost no meeting, and no required upkeep. Compliant Mechanisms: layout of Flexure Hinges offers functional solutions to the current and destiny wishes of effective layout, research, and optimization of units that contain flexure hinges. With a hugely unique process the text:Discusses new and classical forms of flexure hinges (single-, - and multiple-axis) for 2- and three-d applicationsAddresses a variety of business purposes, together with micro- and nano-scale mechanismsQuantifies flexibility, precision of rotation, sensitivity to parasitic loading, strength intake, and tension boundaries via closed-form compliance equationsOffers a unitary presentation of person flexure hinges as fully-compliant contributors through closed-form compliance (spring charges) equationsFully defines the lumped-parameter compliance, inertia and damping houses of flexure hinges Develops a finite aspect method of compliant mechanisms through giving the fundamental formula of latest flexure hinge line elementsIncorporates extra complex subject matters devoted to flexure hinges together with huge deformations, buckling, torsion, composite flexures, form optimization and thermal effectsCompliant Mechanisms: layout of Flexure Hinges presents sensible solutions and instructions to the desires of successfully designing, examining, and optimizing units that come with flexure hinges. It includes ready-to-use plots and straightforward equations describing a number of flexure kinds for the pro that wishes speedy recommendations to present functions. The booklet additionally presents self-contained, easy-to-apply mathematical instruments that offer adequate counsel for real-time challenge fixing of extra purposes.

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11. L. , A method for the design of compliant mechanisms with small-length flexural pivots, ASME Journal of Mechanical Design, 116(1), 280, 1994. 12. L. , Parametric deflection approximations for end-loaded, large-deflection beams in compliant mechanisms, ASME Journal of Mechanical Design, 117(1), 156, 1995. 13. L. , Determination of the degrees of freedom of compliant mechanisms using the pseudo-rigid-body model concept, in Proc. of the Ninth World Congress on the Theory of Machines and Mechanisms, Milano, Italy, 2, 1995, p.

By taking the partial derivatives of Eqs. 28) 1y The other deformations, θ1x, u2x, and θ2y , are expressed similarly by simply substituting F1y with M1x, F2*x , and M2* y , respectively, in Eq. 28). The equations for bending moment, shearing force, axial force, and torque are taken with respect to a generic position on the two distinct intervals, 1–2 and 2–3, positioned at a distance x from the reference system origin. 29) 1367_Frame_C02 Page 34 Friday, October 18, 2002 1:49 PM 34 Compliant Mechanisms: Design of Flexure Hinges for the 1–2 interval.

6) relates two distinct types of work: one component that is done by a force (a translatory work) and another component that is produced by a moment (a rotary work). The principle is obviously valid for connecting the same types of works (translatory to translatory or rotary to rotary), as well. There were other developments of the reciprocity principle over the years. The Land–Colonnetti principle (1887 and 1912), for instance, proposed a model reflecting the reciprocity between the elastic deformations produced by constraints and those generated by external loading.

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