Relation of a frequency-dependent structure with the corresponding frequency-independent structure

✍ Scribed by Izuru Takewaki

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 598 KB
• Volume: 35
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/s0020-7683(97)00151-0

✦ Synopsis

It is shown that the second theorem in the previous paper Optimal elastic structures with frequency-dependent elastic supports. Infernalional Journal of Solids and Structures 25(5), 539-5511 can be extended to a more general case where there is no special restriction on the characteristics of frequency-dependent stiffnesses except their positive definiteness and a characteristic as a single-valued function. This theorem enables one to disclose the relationship between the design space of elastic structures with frequency-dependent stiffnesses and that of elastic structures with the corresponding frequency-independent stiffnesses, both with respect to fundamental natural frequency. It facilitates not only clarification of lowest-mode qualification conditions for the frequency-dependent model with the help of the frequency-independent model, but also use of the modal analysis technique via the substitute model (the frequencyindependent model).