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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한기계학회 Journal of Mechanical Science and Technology Journal of Mechanical Science and Technology Vol.19 No.1
- 발행연도
- 2005.1
- 수록면
- 61 - 71 (11page)
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초록· 키워드
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In this paper, the simplified and stable finite element method is presented for the time domain analysis of the transient dynamic viscoelastic problems, for which the weak form is obtained by applying the Galerkin's method to the equations of motion in time integral which do not contain the inertia terms explicitly, but the inertia effect is taken into account, and discretized spatially to obtain the semidiscrete equations in time integral. In the temporal approximation, only the time interpolation functions are used for approximating the dependent variables on the divided time axis, while the time integration schemes such as the Newmark and Houbolt methods are not necessary in contrary to the conventional approach. To show the validity and applicability, two-dimensional examples are given and solved for the displacements and stresses, especially for the dynamic stress concentrations by the wave diffraction, which are discussed in detail at the aspect of the viscoelastic damping. To the authors' knowledge, no previous results except for the test example exist in the literature.
목차
Abstract
1. Introduction
2. Weak Formulation
3. Finite Element Equations
4. Stress Computation in Matrix Form
5. Numerical Examples
6. Conclusion
References
Appendix
참고문헌 (29)
참고문헌 신청
Achenbach, J.D., 1975, Wave Propagation in Elastic Solids, North-Holland, Amsterdam.
Bagley, R.L. and Torvik, P.J., 1985, "Fractional Calculus in the Transiend Analysis of Viscoelastically Damped Structures," AIAA, Vol.23, No.6, pp.918~925.
Barrrett, K.E. and Gotts, A.C., 2002, "Finite Element Analysis of a Compressible Dynamic Viscoelastic Sphere Using FFT," Comput, Struct., Vol.80, pp.1615~1625.
Bathe, K.J., 1996, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs.
Beskors, D.E. and Leung, K.L., 1984, "Dynamic Response of Plate Systems by Combining Finite Differences, Finite Elements and Laplace Transform," Comput. Struct., Vol.19, No.5-6, pp.763~775.
Bagley, R.L. and Torvik, P.J., 1985, "Fractional Calculus in the Transiend Analysis of Viscoelastically Damped Structures," AIAA, Vol.23, No.6, pp.918~925.
Barrrett, K.E. and Gotts, A.C., 2002, "Finite Element Analysis of a Compressible Dynamic Viscoelastic Sphere Using FFT," Comput, Struct., Vol.80, pp.1615~1625.
Bathe, K.J., 1996, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs.
Beskors, D.E. and Leung, K.L., 1984, "Dynamic Response of Plate Systems by Combining Finite Differences, Finite Elements and Laplace Transform," Comput. Struct., Vol.19, No.5-6, pp.763~775.
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