Free torsional vibration of a nonhomogeneous semiinfinite solid circular cylinder (Q1115236)

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scientific article; zbMATH DE number 4085157
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Free torsional vibration of a nonhomogeneous semiinfinite solid circular cylinder
scientific article; zbMATH DE number 4085157

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    Free torsional vibration of a nonhomogeneous semiinfinite solid circular cylinder (English)
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    1989
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    Free torsional vibration of a nonhomogeneous semiinfinite solid circular cylinder with stress free and rigid boundary is solved in this paper. The nonhomogeneity of rigidity and density is chosen in the form \(\mu =\mu_ 0(1+KZ)^ n\), \(\rho =\rho_ 0(1+KZ)^ n\). The displacement and stress component for different values of n are numerically evaluated.
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    method of separation of variables
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    stress component
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    particle displacement
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    stress free
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    rigid boundary
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