Discrete, nonlinear string vibrations
نویسندگان
چکیده
منابع مشابه
Uniform stability of damped nonlinear vibrations of an elastic string
Abstract. Here we are concerned about uniform stability of damped nonlinear transverse vibrations of an elastic string fixed at its two ends. The vibrations governed by nonlinear integro-differential equation of Kirchoff type, is shown to possess energy uniformly bounded by exponentially decaying function of time. The result is achieved by considering an energy-like Lyapunov functional for the ...
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where the qk represent charges, Lik inductances, Rik resistances, Gik reciprocals of capacitance, the Ejk are random e.m.f's**, and primes denote differentiations with respect to time. The theory of such systems of equations, quite carefully examined during the war years in applications to noise in electrical networks, turns out also to be applicable to the various mechanical systems—in particu...
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ژورنال
عنوان ژورنال: The Computer Journal
سال: 1970
ISSN: 0010-4620,1460-2067
DOI: 10.1093/comjnl/13.2.195