The dynamic and static response of a nonuniform beam with nonhomogeneous elastic boundary conditions is studied by generalizing the method of Mindlin-Goodman and utilizing the exact solutions of general elastically restrained non-uniform beams given by Lee and Kuo. A general form of change of dependent variable is introduced and the shifting functions expressed in terms of the four fundamental solutions of the system, instead of the fifth degree polynomials taken by Mindlin-Goodman, are selected. The physical meanings of these shifting polynomial functions are explored. Finally, the limiting cases are discussed and examples are given to illustrate the analysis.
|Number of pages||6|
|Journal||Journal of Vibration and Acoustics, Transactions of the ASME|
|Publication status||Published - 1998 Jan|
All Science Journal Classification (ASJC) codes
- Acoustics and Ultrasonics
- Mechanics of Materials
- Mechanical Engineering