1 |
Calim, F.F. (2009), "Dynamic analysis of composite coil springs of arbitrary shape", Composites Part B, 40(8), 74-75.
|
2 |
Hao, Y. and Yu, A.M. (2011), "Vibration analysis of cylindrical helical springs considering warping deformation effect", Chinese Journal of Theoretical and Applied Mechanics, 43(3), 561-569. (in Chinese)
|
3 |
Kiral, E. and Ertepinar, A. (1974a), "Studies on elastic rods subject to diverse external agencies-Part I: Derivation of governing equations", METU J. Pure Appl. Sci., 7, 23-40.
|
4 |
Kiral, E. and Ertepinar, A. (1974b), "Studies on elastic rods subject to diverse external agencies-Part III: Vibrational analysis of space rods", METU J. Pure Appl. Sci., 7, 55-69.
|
5 |
Lee, J. and Thompson, D.J. (2001), "Dynamic stiffness formulation, free vibration and wave motion of helical springs", J. Sound Vib., 239, 297-320.
DOI
ScienceOn
|
6 |
Love, A.E.H. (1899), "The propagation of waves of elastic displacement along a helical wire", Trans. Camb. Phil. Soc., 18, 364-374.
|
7 |
Michell, J.H. (1890), "The small deformation of curves and surfaces with application to the vibrations of a helix and a circular ring", Mess. Math., 19, 68-82.
|
8 |
Mottershead, J.E. (1980), "Finite elements for dynamical analysis of helical rods", Int. J. Mech. Sci., 22, 267-283.
DOI
ScienceOn
|
9 |
Nagaya, K., Takeda, S. and Nakata, Y. (1986), "Free vibrations of coil springs of arbitrary shape", Int. J. Numer. Methods Eng., 23, 1081-1099.
DOI
ScienceOn
|
10 |
Oz, H.R. (2010), "In-plane vibrations of cracked slightly curved beams", Struct. Eng. Mech., 36(6), 679-695.
DOI
ScienceOn
|
11 |
Pearson, D. (1982), "The transfer matrix method for the vibration of compressed helical springs", Int. J. Mech. Sci., 24, 163-171.
|
12 |
Pearson, D. and Wittrick, W.H. (1986), "An exact solution for the vibration of helical spring using a Bernoulli-Euler mode", Int. J. Mech. Sci., 28, 83-96.
DOI
ScienceOn
|
13 |
Tabarrok, B., Sinclair, A.N., Farshad, M. and Yi, H. (1988), "On the dynamics of spatially curved and twisted rods: A finite element formulation", J. Sound Vib., 123, 315-326.
DOI
ScienceOn
|
14 |
Washizu, K. (1964), "Some considerations on a naturally curved and twisted slender beam", J. Math. Phys., 43(2), 111-116.
DOI
|
15 |
Taktak, M., Dammak, F., Abid, S. and Haddar, M. (2008), "A finite element for dynamic analysis of a cylindrical isotropic helical spring", J. Mech. Mater. Struct., 3(4), 641-658.
DOI
|
16 |
Temel, B. and Calim, F.F. (2003), "Forced vibration of cylindrical helical rods subjected to impulsive loads", ASME J. Appl. Mech., 70(3), 281-291.
DOI
ScienceOn
|
17 |
Tseng, Y.P., Huang, C.S. and Lin, C.J. (1997), "Dynamic stiffness analysis for the in-plane vibrations of arches with variable curvature", J. Sound Vib., 207, 15-31.
DOI
ScienceOn
|
18 |
Whittaker, E.T. and Watson, G.N. (1965), A Course of Modern Analysis, 4th Edition, Cambridge University Press, Cambridge, UK.
|
19 |
Wittrick, W.H. (1966), "On elastic wave propagation in helical springs", Int. J. Mech. Sci., 8, 25-47.
DOI
ScienceOn
|
20 |
Yildirim, V. (1999), "An efficient numerical method for predicting the natural frequencies of cylindrical helical springs", Int. J. Mech. Sci., 41, 919-939.
DOI
ScienceOn
|
21 |
Yildirim, V. (2001), "Free vibration characteristics of composite barrel and hyperboloidal coil springs", Mech. Compos. Mater. Struct., 8, 205-217.
DOI
ScienceOn
|
22 |
Yildirim, V. (2004), "A parametric study on the natural frequencies of unidirectional composite conical springs", Commun. Numer. Methods Eng., 20, 207-227.
DOI
ScienceOn
|
23 |
Yoshimura, Y. and Murata, Y. (1952), "On the elastic waves propagated along coil springs", Rep. Inst. Sci. and Tech. Tokyo University., 6, 27-35.
|
24 |
Yu, A.M. and Yang, C.J. (2008), "Generalized variational principle of dynamic analysis on naturally curved and twisted box beams for anisotropic materials", Meccanica, 43(6), 611-622.
DOI
|
25 |
Zhu, L.L., Zhao, Y.H. and Wang, G.X. (2010), "Exact solution for in-plane displacement of redundant curved beam", Struct. Eng. Mech., 34(1), 139-142.
DOI
ScienceOn
|
26 |
Yu, A.M., Yang, C.J. and Nie, G.H. (2010), "Analytical formulation and evaluation for free vibration of naturally curved and twisted beams", J. Sound Vib., 329, 1376-1389.
DOI
ScienceOn
|
27 |
Zhu, L.L. and Zhao, Y.H. (2008), "Exact solution for warping of spatial curved beams in natural coordinates", Appl. Math. Mech.-Engl. Ed., 29(7), 933-941.
DOI
ScienceOn
|