| Summary: | 碩士 === 逢甲大學 === 自動控制工程研究所 === 84 === To design a structure, it is often required to add or
extract a substructure to meet the design criteria without re-
analyzing the changed structure. Many component synthesis
methods are developed in recent years, but only Inamura and
Dowell discuss the decoupling technique. It directly deal with
the mass and stiffness matrices for finite element analysis.
Recently, Yee, Tsuei and Lin developed a component synthsis
method named Modal Force Technique. It directly works with the
frequency response functions at joint to predict the dynamic
behavior of a synthesized structure. By using this method, fewer
orders of the system matrix, no matrix inversion and the system
matrix containing both of the system and substructure modes are
its privileges. These features can be applied to the dynamic
decoupling. A very similar concept of the Modal Force Technique
is used to derive the decoupled system equation. The
eigensolution of this decoupled system gives the natural
frequency and corresponding eigenvector of the decoupled
structure. Futher investigating these coupled and decoupled
system equations, a generalized Modal Force Technique can be
summarized for structural analysis both in the area of coupling
and decoupling. To illustrate the
generalized Modal Force Technique, a lumped system and a beam
structure are presented. The numerical results indicate that the
generalized Modal Force Technique is effective in dynamic
coupling as well as in dynamic decoupling and can be used in
structural analysis and design.
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