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Information Journal Paper

Title

EXACT RADIAL FREE VIBRATION FREQUENCIES OF POWER-LAW GRADEDSPHERES

Pages

  175-186

Abstract

 This study concentrates on the free pure radial vibrations of hollow spheres made of hypothetically functionallysimple power rule graded materials having identical inhomogeneity indexes for both Young’ s modulus and the density in ananalytical manner. After offering the exact elements of the free vibration coefficient matrices for free-free, free-fixed, andfixed-fixed restraints, a parametric study is fulfilled to study the effects of both the aspect ratio and the inhomogeneityparameters on the natural frequencies. The outcomes are presented in both graphical and tabular forms. It was seen that thefundamental frequency is mostly affected by the inhomogeneity parameters rather than the higher ones. However, the naturalfrequencies except the fundamental ones are dramatically affected by the thickness of the sphere. It is also revealed that there isa linear relationship between the fundamental frequency and others in higher modes of the same sphere under all boundaryconditions.

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    APA: Copy

    YILDIRIM, VEBIL. (2018). EXACT RADIAL FREE VIBRATION FREQUENCIES OF POWER-LAW GRADEDSPHERES. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 4(3), 175-186. SID. https://sid.ir/paper/353138/en

    Vancouver: Copy

    YILDIRIM VEBIL. EXACT RADIAL FREE VIBRATION FREQUENCIES OF POWER-LAW GRADEDSPHERES. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2018;4(3):175-186. Available from: https://sid.ir/paper/353138/en

    IEEE: Copy

    VEBIL YILDIRIM, “EXACT RADIAL FREE VIBRATION FREQUENCIES OF POWER-LAW GRADEDSPHERES,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 4, no. 3, pp. 175–186, 2018, [Online]. Available: https://sid.ir/paper/353138/en

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