Dynamic analysis of elastically and plastically graded spherical and cylindrical contact. (November 2019)

• Record Type: Journal Article
• Authors: Jana, Tamonash; Mitra, Anirban; Sahoo, Prasanta
• Is Part Of: Proceedings of the Institution of Mechanical Engineers. Volume 233:Number 11(2019:Nov.)
• Page Start: 1712
• Page End: 1728
• Publication Date: 2019-11
• Subjects: Contact vibration -- nonlinear vibration -- hemispherical contact -- cylindrical contact; Tribology -- Periodicals; 621.89
• DOI: 10.1177/1350650119841756
• Languages: English
• ISSNs: 1350-6501

Abstract

A dynamic analysis of a hemispherical and cylindrical contact, material properties of which are graded elastically and plastically along the radius, is presented. The static force–displacement behavior of a hemisphere and a semi-cylinder in contact with a rigid flat is obtained using finite element software. The force–displacement is used in a further dynamic analysis for undamped-free as well as for forced-damped vibration of the contact interface. For the undamped free vibration, variation of natural frequency w.r.t. initial displacement is furnished for different values of elastic and plastic gradation parameter. In addition, variation of maximum initial displacement for contact loss is also demonstrated. The forced-damped vibration characteristics of the spherical and cylindrical contact interfaces are presented in the form of frequency response curves with jump up and jump down frequencies. Spherical and cylindrical contact interfaces are found to exhibit softening and hardening type nonlinearity, respectively.