Dynamic analysis of helical springs by the assumed mode method

✍ Scribed by A. Ward; M.S. Towers; H.A. Barker

• Publisher: Elsevier Science
• Year: 1987
• Tongue: English
• Weight: 712 KB
• Volume: 112
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(87)80198-0

✦ Synopsis

Equations of motion are developed for a helical spring, and solved to obtain the frequency and shape of each natural mode by the assumed mode method in which series of shape functions are used to represent the displacements. Computed harmonic solutions yield as many natural frequencies and mode shapes as may be required, for springs with a variety of boundary conditions and smooth helical geometries which may include variable curvature and tortuosity. Natural frequencies obtained by the method agree well with published results and with impulse test experiments, and the mode shapes not only fit well into existing classifications but also suggest that the method of classification may be extended. A design chart is presented to relate the fundamental natural frequency of helical springs to their geometries.