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S.B. Karavashkin and O.N. Karavashkina Special Laboratory for Fundamental Elaboration SELF E-mail: email@example.com http://angelfire.lycos.com/la3/SELFlab http://angelfire.lycos.com/la3/selftrans
Exact analytical solution for 1D elastic homogeneous finite lumped line vibration
ABSTRACT. We will analyse in this paper the principal demerits of conventional approaches to the problem of vibrant 1D homogeneous finite lumped line and present the exact analytical solutions for forced and free vibrations in finite lines with free ends and with the free end and fixed start. We will analyse these solutions and their distinctions from the conventional concept on the vibration pattern in such lines. We will give the check of presented solutions proving them to be complete and exact