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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, no use for lubrication, no hysteresis, compactness, ability to be used in small-scale functions, ease of fabrication, nearly 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 include flexure hinges. With a hugely unique method the text:Discusses new and classical kinds of flexure hinges (single-, - and multiple-axis) for 2- and third-dimensional applicationsAddresses a variety of commercial purposes, together with micro- and nano-scale mechanismsQuantifies flexibility, precision of rotation, sensitivity to parasitic loading, power intake, and tension obstacles 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 by way of giving the fundamental formula of latest flexure hinge line elementsIncorporates extra complicated issues devoted to flexure hinges together with huge deformations, buckling, torsion, composite flexures, form optimization and thermal effectsCompliant Mechanisms: layout of Flexure Hinges offers sensible solutions and instructions to the desires of successfully designing, reading, and optimizing units that come with flexure hinges. It comprises ready-to-use plots and easy equations describing a number of flexure forms for the pro that wishes fast strategies to present purposes. The publication additionally presents self-contained, easy-to-apply mathematical instruments that supply enough information for real-time challenge fixing of additional functions.

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The scientific investigation of the fatigue phenomenon began around 1850 with rigorous experimental research conducted by a German scientist, A. Wohler, who investigated the fracture of axles in railway equipment and stress raisers in machine components and designed a series of fatigue tests. An excellent account of the fatigue phe15 nomenon can be found in Timoshenko. 1367_Frame_C02 Page 39 Friday, October 18, 2002 1:49 PM Compliance-Based Design of Flexure Hinges 39 Classic examples of fatigue testing are the cyclic tension and compression and the rotating bending.

6. T. , Elliptical flexure hinges, Revue of Scientific Instruments, 68(3), 1474, 1997. 7. Lobontiu, N. , Design of symmetric conic-section flexure hinges based on closed-form compliance equations, Mechanism and Machine Theory, 37(5), 477, 2002. 8. Lobontiu, N. , Parabolic and hyperbolic flexure hinges: flexibility, motion precision and stress characterization based on compliance closed-form equations, Precision Engineering: Journal of the International Societies for Precision Engineering and Nanotechnology, 26(2), 185, 2002.

16. For some materials (mild steel included), the fracture stress reaches a limit value after a certain number of cycles and remains constant thereafter. This stress limit is called the endurance limit and is denoted by σl while Nl stands for the corresponding number of cycles. Other materials, such as several aluminum alloys, do not display a firm value of this strength as the fracture continues to decrease when increasing the number of cycles. Practically, the fatigue 8 testing is stopped after 10 cycles if fracture does not occur.

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