Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 114, Issue 2, Pages 291-303Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0377-0427(99)00206-X
Keywords
cascade; mass-spring-damper system; vibration; wave propagation; dynamics
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Closed-form responses due to step forces of finite and semi-infinite damped mass-spring cascades with variable boundary mass are derived. By convolution arbitrary responses may be obtained. Eigenfrequencies, eigenmodes and critical damping of nonuniform and uniform finite cascades are found, showing a decreasing critical damping with increasing eigenfrequency. Further the frequency-response functions of the cascades are given for three cases. (C) 2000 Elsevier Science B.V. All rights reserved.
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