Static and dynamic characteristics of machine components in contact

✍ Scribed by M.P. Chung; W.H. Chen; A.C. Singhal

• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 454 KB
• Volume: 23
• Category: Article
• ISSN: 0003-682X
• DOI: 10.1016/0003-682x(88)90077-1

✦ Synopsis

Static and dynamic characteristics of a machine joint are studied. A simple model of a beam on an elastic foundation and an iterative technique are used to simulate the non-linear behaviour of the static stiffness of the machine joint. Closed-form shape functions for a beam on elastic foundations are obtained by solving the governing differential equation. Numerical results demonstrate that there is always an optimum surface finish condition for the contact surfaces of the machine joint. Analytical values have been correlated with the experimental data.

NOTATION c

Constant relating normal compliance and normal pressure m Mass per unit length of beam E Young's modulus (N cm-2) I Moment of inertia Kij Coefficient of stiffness matrix k Static stiffness of contact surface per unit area Mij Coefficient of mass matrix Ni(x) Shape function n Constant relating normal compliance and normal pressure 1