
Coupled Vibration Control
of Cylindrical Shells Partially Treated with Active Constrained Layer Damping
Wang Miao,Fang Zhichu
(School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao
Tong University, Shanghai 200030)
Abstract: With Hamilton's Principle, the dynamic
differential equations and bou ndary conditions for coupled vibration of cylindrical
shells treated with active constrained layer damping (ACLD) are derived. The spectral
transfer matrix method (STMM) based on analytical solutions for one-dimensional continuous
structure analysis is expanded and applied to a partially ACLD cylindrical shell for the
numerical analysis to overcome the shortcomings of finite element method (FEM) , such as,
vast elements, high orders of dynamic equation, and repeated modeling during variation of
length and location of ACLD, thus the lowest order governin gequations with the smallest
number of elements are achieved. The typical numer ical examples show the effectiveness
and accuracy of STMM.
Keywords: active constrained layer damping (ACLD), circular cylindrical
shell, spectral transfer matrix method (STMM), proportion-derivative controller.