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FREE VIBRATIONS of VISCOELASTIC MATERIALS FOR ARBITRARY KERNEL

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2004-2005

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
For an isotropic viscoelastic constitutive relation in Boltzmann-Volterra form the problems of vibrations of linear viscoelastic materials reduce to the solution of a certain integro-differential equation which coincides with the equation of vibrations of a viscoelastic system with single degree of freedom. Full solution of this equation for arbitrary kernel of relaxation is constructed in the present article. Iteration processes for calculating frequency and damping coefficient are given. There are two special cases of the relaxation kernel that a solution for the problem involved is given. One is the case of the sum of exponents, in the other the kernel is the sum of Dirac delta and an exponent. Analysis of obtained solutions and their comparisons with results available in literature are performed.
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REFERENCES

References: 

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