Synthesis methodology of a compliant exact long dwell mechanism using elastica theory
Source abstract
Abstract
Compliant exact dwell mechanism design and its synthesis methodology are investigated. This class of compliant dwell mechanisms incorporates the buckling motion of an initially straight fixed–fixed flexible member as a follower. The initially straight flexible beam is modeled using nonlinear exact inextensible Elastica theory. The output response of a compliant long dwell mechanism is obtained using design charts for a mechanism that complies with the desired dwell time, maximum rise height and mechanism space requirements.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Piezoelectric Actuators and Control · Topology Optimization in Engineering · Structural Analysis and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (43)
Show source-provided references
1. Ananthasuresh, G.K.: A new design paradigm for micro-electro-mechanical-systems and investigations on the compliant mechanism synthesis. Ph.D. Thesis, University of Michigan, Ann Arbor, MI (1994)
2. Badre-Alam, A., Streit, D.A.: Long-dwell and finite-dwell linkages. In: ASME Mechanism Synthesis and Analysis Conference, pp. 479–485 (1994)10.1115/DETC1994-0227 ↗
3. Berkof, M.P.: Design methodology for a long dwell finite dwell linkage. Master Thesis, The Pennsylvania State University (1996)
4. Bisshopp, K.E., Drucker, D.C.: Large deflections of cantilever beams. Q. Appl. Math. 3(3), 272–275 (1945)10.1090/qam/13360 ↗
5. Boyle, C., Howell, L.L., Magleby, S.P., Evans, M.S.: Dynamic modeling of compliant constant-force compression mechanisms. Mech. Mach. Theory 38, 1469–1487 (2003)10.1016/S0094-114X(03)00098-3 ↗
6. Burns, R.H., Crossley, F.R.E.: Kinetostatic synthesis of flexible link Mechanisms. ASME Paper No. 68-Mech-36 (1968)
7. Byrd, P.F., Friedman, M.D.: Handbook of Elliptic Integrals for Engineers and Physicists. Springer-Verlag, Berlin (1954)10.1007/978-3-642-52803-3 ↗
8. Cannon, J.R., Howell, L.L.: A compliant contact-aided revolute joint. Mech. Mach. Theory 40, 1273–1293 (2005)10.1016/j.mechmachtheory.2005.01.011 ↗
9. Dado Mohammad, H.F.: Limit position synthesis and analysis of compliant 4-bar mechanisms with specified energy levels using variable parametric pseudo-rigid-body model. Mech. Mach. Theory 40, 977–992 (2005)10.1016/j.mechmachtheory.2004.12.013 ↗
10. Erdman, G., Loftness, P.E.: Synthesis of linkages for cataract surgery: storage, folding, and delivery of replacement intraocular lenses (IOLs). Mech. Mach. Theory 40, 337–351 (2005)10.1016/j.mechmachtheory.2004.07.006 ↗
11. Euler, L.: Methodus Inveniendi Lineas Curvas (Appendix 1, De Curvis Elasticis). Lausanne and Geneva, English Translation by Oldfather, W.A., Ellis, C.A. and Brown, D.M. (1933). Isis 20, pp. 72–160 (1744)
12. Frecker, M.I., Ananthasuresh, G.K., Nishiwaki, S., Kikuchi, N., Kota, S.: Topological synthesis of compliant mechanism using multi-criteria optimization. J. Mech. Des. 119, 238–245 (1997)10.1115/1.2826242 ↗
13. Frisch-Fay, R.: Flexible Bars. ButterWorths, London (1962)
14. Gorski, W.: A review of literature and a bibliography on finite elastic deflections of bars. The Institution of Engineers, Australia, Civil Engineering Transactions, vol. 18, pp. 74–85 (1976)
15. Griffis, M.: Preloading compliant couplings and the applicability of superposition. Mech. Mach. Theory 41, 845–862 (2006)10.1016/j.mechmachtheory.2005.10.015 ↗
16. Her, I.: Methodology for compliant mechanism design. Ph.D. Dissertation, Purdue University (1986)
17. Howell, L.L., Midha, A.: The effects of a compliant work piece on the input/output characteristics of rigid-link toggle mechanisms. In: Proceedings of the 2nd National Applied Mechanisms & Robotics Conference, vol. II, pp. IXB.3-1 to IXB.3-6. Cincinnati, Ohio, (1991)
18. Howell, L.L.: Compliant Mechanisms, 1st edn. John Wiley & Sons, Inc., New York (2001)
19. Hrones, J.A., Nelson, G.L.: Analysis of the Four-Bar Linkage. MIT Technology Press, Cambridge MA (1951)
20. Hull, P.V., Canfield, S.: Optimal synthesis of compliant mechanisms using subdivision and commercial FEA. ASME J. Mech. Des. 128, 337–348 (2006)10.1115/1.2159026 ↗
21. Jensen, B.D., Howell, L.L.: The modeling of cross-axis flexural pivots. Mech. Mach. Theory 37, 461–476 (2002)10.1016/S0094-114X(02)00007-1 ↗
22. Jensen, B.D., Howell, L.L., Salmon, L.G.: Design of two link, in-plane, bistable compliant micro-mechanisms. J. Mech. Des. 121, 416–423 (1999)10.1115/1.2829477 ↗
23. Jung, D., Gea, H.C.: Compliant mechanism design with non-linear materials using topology optimization. Int. J. Mech. Mater. Des. 1, 157–171 (2004)10.1007/s10999-004-1494-z ↗
24. Kota, S.: Automatic selection of mechanism design from a three dimensional design map. J. Mech. Des. 114(3), 359–367 (1992)10.1115/1.2926561 ↗
25. Kota, S.: Compliant systems using monolithic mechanisms. Smart Materials Bulletin, pp. 7–10 (2001)10.1016/S1471-3918(01)80002-2 ↗
26. Lobontiu, N., Garcia, E.: Circular-hinge line element for finite element analysis of compliant mechanisms. ASME J. Mech. Des. 127, 766–773 (2005)10.1115/1.1825046 ↗
27. Lyon, S.M., Erickson, P.A., Evans, M.S., Howell, L.L.: Prediction of the first model frequency of compliant mechanisms using the pseudo-rigid body model. J. Mech. Des. 121, 309–313 (1999)10.1115/1.2829459 ↗
28. Mattiasson, K.: Numerical results from large deflection beam and frame problems analyzed by means of elliptic integrals. Int. J. Numer. Methods Eng., Short Commun. 17(1), 145–153 (1981)10.1002/nme.1620170113 ↗
29. Moon, Y.M.: Bio-mimetic design of finger mechanism with contact aided compliant mechanism. Mech. Mach. Theory (2006) (in press)10.1016/j.mechmachtheory.2006.04.014 ↗
30. Navaee, S., Elling, R.E.: Equilibrium configurations of cantilever beams subjected to inclined end loads. ASME J. Appl. Mech. 59, 572–579 (1992)10.1115/1.2893762 ↗
31. Norton, R.L.: An Introduction to the Synthesis and Analysis of Mechanisms and Machines, 2nd edn. McGraw-Hill (1999)
32. Norton, R.L.: Machine Design, an Integrated Approach, 2nd edn. Prentice Hall, New Jersey (2000)
33. Salomon, B.A.: Mechanical advantage aspects in compliant mechanism design. MS Thesis, Purdue University (1989)
34. Shoup, T.E.: An analytical investigation of the large deflections of flexible beam springs. Ph.D. Dissertation, The Ohio State University, Columbus, Ohio (1969)
35. Shoup, T.E., McLarnan, C.W.: On the use of the undulating Elastica for the analysis of flexible link mechanisms. J. Eng. Ind., Trans. ASME February, 263–267 (1971a)10.1115/1.3427884 ↗
36. Shoup, T.E., McLarnan, C.W.: On the use of a doubly clamped flexible strip as a nonlinear spring. J. Eng. Ind., Trans. ASME June, 559–560 (1971b)10.1115/1.3408825 ↗
37. Sigmund, O.: A 99 line topology optimization code written in MATLAB. Structural Multidisciplinary Optimization 21, pp. 120–127, Springer-Verlag (2001)10.1007/s001580050176 ↗
38. SMI. Handbook of Spring Design. Spring Manufacturers Institute (1991)
39. Sönmez, Ü.: Compliant mechanism design and synthesis using buckling members. Ph.D. Dissertation, The Pennsylvania State University, State College, Pennsylvania (2000)
40. Vangbo, M., Backlund, Y.: A lateral symmetrically bi-stable buckled beam. J. Micromech. Microeng. 8, 29–32 (1998)10.1088/0960-1317/8/1/005 ↗
41. Venanzi, S., Giesen, P., Parenti-Castelli, V.: A novel technique for position analysis of planar compliant mechanisms. Mech. Mach. Theory 40, 1224–1239 (2005)10.1016/j.mechmachtheory.2005.01.009 ↗
42. Wang, M.Y., Chen, S., Wang, X., Mei, Y.: Design of multi-material compliant mechanisms using level-set methods. ASME J. Mech. Des. 127, 941–956 (2005)10.1115/1.1909206 ↗
43. Yin, L., Ananthasuresh, G.K.: A novel topology design scheme for the multi-physics problems of electro-thermally actuated compliant micro mechanisms. Sens. Actuators 97–98, 599–609 (2002)10.1016/S0924-4247(01)00853-6 ↗