메뉴 건너뛰기




Volumn 211, Issue 7, 1997, Pages 509-517

A generalized elastica-type approach to the analysis of large displacements of spring-strips

Author keywords

Elastica; Elliptic integrals; Large deflections

Indexed keywords

ELASTICITY; INTEGRAL EQUATIONS; LOADS (FORCES); MATHEMATICAL MODELS;

EID: 0031378462     PISSN: 09544062     EISSN: None     Source Type: Journal    
DOI: 10.1243/0954406971521890     Document Type: Article
Times cited : (46)

References (37)
  • 1
    • 33744530646 scopus 로고
    • Some uses of elasticity in instrument design
    • Jones, R. V. Some uses of elasticity in instrument design. J. Sci. Instrum., 1962, 39, 193-203.
    • (1962) J. Sci. Instrum. , vol.39 , pp. 193-203
    • Jones, R.V.1
  • 2
    • 0002754419 scopus 로고
    • Flexure-pivot bearings - Part 1
    • 10 June
    • Weinstein, W. D. Flexure-pivot bearings - part 1. Mach. Des., 10 June 1965, 150-157.
    • (1965) Mach. Des. , pp. 150-157
    • Weinstein, W.D.1
  • 3
    • 0002754419 scopus 로고
    • Flexure-pivot bearings - Part 2
    • 8 July
    • Weinstein, W. D. Flexure-pivot bearings - part 2. Mach. Des., 8 July 1965, 136-145.
    • (1965) Mach. Des. , pp. 136-145
    • Weinstein, W.D.1
  • 5
    • 0025519398 scopus 로고
    • Development of an active truss element for control of precision structures
    • Anderson, E. H., Moore, D. M., Fanson, J. L. and Ealey, M. A. Development of an active truss element for control of precision structures. Opt. Engng, 1990, 29, 1333-1341.
    • (1990) Opt. Engng , vol.29 , pp. 1333-1341
    • Anderson, E.H.1    Moore, D.M.2    Fanson, J.L.3    Ealey, M.A.4
  • 6
    • 33748017986 scopus 로고
    • Opto-mechanical instrument design
    • Reiss, R. S. Opto-mechanical instrument design. Proc. SPIE, 1987, 817, 154-170.
    • (1987) Proc. SPIE , vol.817 , pp. 154-170
    • Reiss, R.S.1
  • 7
    • 0003811187 scopus 로고
    • Prentice-Hall, Englewood Cliffs, New Jersey
    • Slocum, A. Precision Machine Design, 1992 (Prentice-Hall, Englewood Cliffs, New Jersey).
    • (1992) Precision Machine Design
    • Slocum, A.1
  • 8
    • 0028508282 scopus 로고
    • Post buckling of micromachined beams
    • Fang, W. and Wickert, J. A. Post buckling of micromachined beams. J. Micromech., 1994, 4, 116-122.
    • (1994) J. Micromech. , vol.4 , pp. 116-122
    • Fang, W.1    Wickert, J.A.2
  • 10
    • 0002769524 scopus 로고
    • The cross-spring pivot as a constructional element
    • Haringx, J. A. The cross-spring pivot as a constructional element. Appl. Sci. Res., Part A, 1949, 1, 313-332.
    • (1949) Appl. Sci. Res., Part A , vol.1 , pp. 313-332
    • Haringx, J.A.1
  • 11
    • 51249194426 scopus 로고
    • Guidage par suspension sur lames elastiques
    • Plainevaux, J. E. Guidage par suspension sur lames elastiques. Nuovo Cimento, 1953, X, 1451-1460.
    • (1953) Nuovo Cimento , vol.10 , pp. 1451-1460
    • Plainevaux, J.E.1
  • 12
    • 0020310630 scopus 로고
    • Exact solution of the non-linear differential equation concerning the elastic line of straight rod due to terminal loading
    • Theocharis, P. S. and Panayotounakos, D. E. Exact solution of the non-linear differential equation concerning the elastic line of straight rod due to terminal loading. Int. J. Nonlinear Mechanics, 1982, 17(5/6), 395-402.
    • (1982) Int. J. Nonlinear Mechanics , vol.17 , Issue.5-6 , pp. 395-402
    • Theocharis, P.S.1    Panayotounakos, D.E.2
  • 15
    • 0000041355 scopus 로고
    • On the deflection of a cantilever beam
    • Barten, H. J. On the deflection of a cantilever beam. Q. Appl. Math., 1945, II, 168-171;
    • (1945) Q. Appl. Math. , vol.2 , pp. 168-171
    • Barten, H.J.1
  • 16
    • 0000041355 scopus 로고
    • On the deflection of a cantilever beam
    • Barten, H. J. On the deflection of a cantilever beam. Q. Appl. Math., 1945, III, 275-276.
    • (1945) Q. Appl. Math. , vol.3 , pp. 275-276
    • Barten, H.J.1
  • 17
    • 0000041355 scopus 로고
    • Large deflection of cantilever beams
    • Bisshopp, K. E. and Drucker, D. C. Large deflection of cantilever beams. Q. Appl. Math., 1945, III, 272-275.
    • (1945) Q. Appl. Math. , vol.3 , pp. 272-275
    • Bisshopp, K.E.1    Drucker, D.C.2
  • 18
    • 0001322602 scopus 로고
    • The large deflection of simply supported beams
    • Conway, H. D. The large deflection of simply supported beams. Phil. Mag., 1947, 38, 905-911.
    • (1947) Phil. Mag. , vol.38 , pp. 905-911
    • Conway, H.D.1
  • 19
    • 85143742136 scopus 로고
    • On the nonlinear differential equation for beam deflection
    • Scott, E. J. and Carver, D. R. On the nonlinear differential equation for beam deflection. Trans. ASME, J. Appl. Mech., 1955, 22(77), 245-248.
    • (1955) Trans. ASME, J. Appl. Mech. , vol.22 , Issue.77 , pp. 245-248
    • Scott, E.J.1    Carver, D.R.2
  • 20
    • 0042067978 scopus 로고
    • Deflection curve of a simply supported beam
    • Gospodnetic, D. Deflection curve of a simply supported beam. Trans. ASME, J. Appl. Mech., 1956, 23(78), 675-676.
    • (1956) Trans. ASME, J. Appl. Mech. , vol.23 , Issue.78 , pp. 675-676
    • Gospodnetic, D.1
  • 21
    • 84987026446 scopus 로고
    • A new approach to the analysis of the deflection of thin cantilevers
    • Frisch-Fay, R. A new approach to the analysis of the deflection of thin cantilevers. Trans. ASME, J. Appl. Mech., 1961, 28(83), 87-90.
    • (1961) Trans. ASME, J. Appl. Mech. , vol.28 , Issue.83 , pp. 87-90
    • Frisch-Fay, R.1
  • 22
    • 0002984115 scopus 로고
    • Flexible bars subjected to arbitrary discrete loads and boundary conditions
    • Manuel, F. S. and Lee, S. L. Flexible bars subjected to arbitrary discrete loads and boundary conditions. J. Franklin Inst., 1968, 285, 452-474.
    • (1968) J. Franklin Inst. , vol.285 , pp. 452-474
    • Manuel, F.S.1    Lee, S.L.2
  • 23
    • 0019381989 scopus 로고
    • Numerical results from large deflection beam and frame problems analysed by means of elliptic integrals
    • Mattiasson, K. Numerical results from large deflection beam and frame problems analysed by means of elliptic integrals. Int. J. Numer. Meth. Engng, 1981, 16, 145-153.
    • (1981) Int. J. Numer. Meth. Engng , vol.16 , pp. 145-153
    • Mattiasson, K.1
  • 24
    • 0026912090 scopus 로고
    • Equilibrium configurations of cantilever beams subjected to inclined end loads
    • Navee, S. and Elling, R. E. Equilibrium configurations of cantilever beams subjected to inclined end loads. Trans. ASME, J. Appl. Mech., 1992, 59, 572-579.
    • (1992) Trans. ASME, J. Appl. Mech. , vol.59 , pp. 572-579
    • Navee, S.1    Elling, R.E.2
  • 25
    • 0040520783 scopus 로고
    • Flat springs with large deflections
    • Hymans, F. Flat springs with large deflections. Trans. ASME, J. Appl. Mech., 1946, 13(68), A-223-A-230.
    • (1946) Trans. ASME, J. Appl. Mech. , vol.13 , Issue.68
    • Hymans, F.1
  • 26
    • 85137151773 scopus 로고
    • A numerical procedure for calculating the large deflections of straight and curved beams
    • Seames, A. E. and Conway, H. D. A numerical procedure for calculating the large deflections of straight and curved beams. Trans. ASME, J. Appl. Mech., 1957, 79, 289-294.
    • (1957) Trans. ASME, J. Appl. Mech. , vol.79 , pp. 289-294
    • Seames, A.E.1    Conway, H.D.2
  • 28
    • 4043135464 scopus 로고
    • The nonlinear bending of thin circular rods
    • Conway, H. D. The nonlinear bending of thin circular rods. Trans. ASME, J. Appl. Mech., 1956, 23(78), 7-10.
    • (1956) Trans. ASME, J. Appl. Mech. , vol.23 , Issue.78 , pp. 7-10
    • Conway, H.D.1
  • 29
    • 85137259107 scopus 로고
    • The nonlinear bending of thin rods
    • Mitchell, T. P. The nonlinear bending of thin rods. Trans. ASME, J. Appl. Mech., 1959, 26(81), 40-43.
    • (1959) Trans. ASME, J. Appl. Mech. , vol.26 , Issue.81 , pp. 40-43
    • Mitchell, T.P.1
  • 36
    • 3142714482 scopus 로고
    • Large deflections of a square frame
    • Kerr, C. N. Large deflections of a square frame. Q. J. Mech. and Appl. Math., 1964, XVII(I), 23-38.
    • (1964) Q. J. Mech. and Appl. Math. , vol.17 , Issue.1 , pp. 23-38
    • Kerr, C.N.1
  • 37
    • 0027097458 scopus 로고
    • A simple, accurate method for calculation of stresses and deformations in elliptical Hertzian contacts
    • Dyson, A., Evans, H. P. and Snidle, R. W. A simple, accurate method for calculation of stresses and deformations in elliptical Hertzian contacts. Proc. Instn Mech. Engrs, 1992, 206, 139-141.
    • (1992) Proc. Instn Mech. Engrs , vol.206 , pp. 139-141
    • Dyson, A.1    Evans, H.P.2    Snidle, R.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.