Transient analysis of viscoelastic helical rods subject to time-dependent loads

International Journal of Solids and Structures

Volumn 41, Issue 5-6, 2004, Pages 1605-1624

  Temel, Beytullah ^a  

^a CUKUROVA UNIVERSITY   (Turkey)

Author keywords

Boltzmann Volterra theory; Helical spring; Inverse Laplace transforms; Viscoelastic materials

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMIC RESPONSE; LAPLACE TRANSFORMS; NUMERICAL ANALYSIS; STIFFNESS MATRIX; VISCOELASTICITY;

HELICAL RODS; TIME-DEPENDENT LOADS;

STRUCTURAL LOADS;

LOADING; ROD;

EID: 0742287812     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.09.054     Document Type: Article

References (26)

1. Adey R.A. Brebbia C.A. Efficient method for solution of viscoelastic problem Journal of Engineering Mechanics Division--ASCE 99 1973 1119-1127
2. Aköz A.Y. Kadoglu F. The mixed finite element solutions of circular beam on elastic foundation Computers and Structures 60 4 1996 643-657
3. Aköz A.Y. Kadoglu F. The mixed finite element method for the quasi-static and dynamic analysis of viscoelastic Timoshenko beams International Journal for Numerical Methods in Engineering 44 1999 1909-1932
4. Chapra S.C. Canale R.P. Numerical Methods for Engineers third ed. 1998 McGraw-Hill
5. Chen T. The hybrid Laplace transform/finite element method applied to the quasi-static and dynamic analysis of viscoelastic Timoshenko beams International Journal for Numerical Methods in Engineering 38 1995 509-522
6. Chen W.H. Lin T.C. Dynamic analysis of viscoelastic structure using incremental finite element method Computers and Structures 4 1982 271-276
7. Christensen R.M. Theory of Viscoelasticity second ed. 1982 Academic Press New York
8. Durbin F. Numerical inversion of Laplace transforms: An efficient improvement to Dubner and Abate's method The Computer Journal 17 1974 371-376
9. Eringen A.C. Mechanics of Continua 1982 John Wiley and Sons New York
10. Findley W.N. Lai J.S. Onaran K. Creep and Relaxation of Nonlinear Viscoelastic Material 1976 North-Holland New York
11. Flügge W. Viscoelasticity second ed. 1975 Springer Berlin
12. Ilyasov M.H. Aköz A.Y. The vibration and dynamic stability of viscoelastic plates International Journal of Engineering Sciences 38 2000 695-714
13. Kadoglu, F., Aköz, A.Y., 1999. The mixed finite element method for the dynamic analysis of viscoelastic circular beams. In: Fourth International Conference on Vibration Problems, Calcutta, India, November 27-30, pp. 40-52
14. Kim T.W. Kim J.H. Parametric instability of a cross-ply laminated beam with viscoelastic properties under a periodic force Composite Structuress 51 2001 205-209
15. Kral E. Ertepnar A. Studies on elastic rods subject to diverse external agencies. Part III: Vibrational analysis of space rods METU Journal of Pure and Applied Science 1974 55-69
16. Kral E. Tokdemir T. Ural S. Transient response of an elastic or/and viscoelastic curved rod under arbitrary time dependent loading METU Journal of Pure and Applied Sciences 9 1976 63-86
17. Narayanan, G.V., 1979. Numerical Operational Methods in Structural Dynamics. Ph.D. thesis, University of Minnesota, Minneapolis, MN
18. Park S.W. Analytical modeling of viscoelastic dampers for structural and vibration control International Journal of Solids and Structures 38 2001 8065-8092
19. Park S.W. Schapery R.A. Methods of interconversion between linear viscoelastic material function. Part I--a numerical method based on Prony series International Journal of Solids and Structures 36 1999 1653-1675
20. Schapery R.A. Park S.W. Methods of interconversion between linear viscoelastic material function. Part II--an approximate analytical method International Journal of Solids and Structures 36 1999 1677-1699
21. Sokolnikoff I.S. Redheffer R.M. Mathematics of Physics and Modern Engineering 1958 McGraw-Hill Tokyo
22. Spiegel M.R. Theory and Problems of Laplace Transforms Schaum's Outline Series 1965 McGraw-Hill
23. Temel B. Çalm F.F. Forced vibration of cylindrical helical rods subjected to impulsive loads Journal of Applied Mechanics--ASME 70 2 2003 281-291
24. White, J.L., 1986. Finite element in linear viscoelasticity. In: Proceeding 2nd Conf. on Matrix Method in Structural Mechanics AFFDL-TR-68-150, pp. 489-516
25. Yamada Y. Takabatake H. Sato T. Effect of time dependent material properties or dynamic response International Journal for Num. Methods Engineering 8 1974 403-414
26. Yerli H.R. Temel B. Kral E. Transient infinite elements for 2D soil-structure interaction analysis Journal of Geotecnical and Geoenviromental Engineering 124 10 1998 976-988