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A Direct Method for Linear Dynamical Problems in Continuum Mechanics with Random Loads
Author(s) -
Wan Frederic Y. M.
Publication year - 1973
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1973523259
Subject(s) - citation , computer science , physics , mathematics , statistical physics , library science
for the unknown column vector u(x , t) defined in some volume in space, V. Here, L is a linear partial differential operator in the spatial coordinate(s), x~, though the known continuous coefficients may be functions of t as well. For example, in a simple model for a single lifting rotor blade in forward flight, the dimensionless transverse displacement of the uniform blade satisfies the dimensionless equation

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