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State space approach to mixed boundary value problems.A state-space procedure for the formulation and solution of mixed boundary value problems is established. This procedure is a natural extension of the method used in initial value problems; however, certain special theorems and rules must be developed. The scope of the applications of the approach includes beam, arch, and axisymmetric shell problems in structural analysis, boundary layer problems in fluid mechanics, and eigenvalue problems for deformable bodies. Many classical methods in these fields developed by Holzer, Prohl, Myklestad, Thomson, Love-Meissner, and others can be either simplified or unified under new light shed by the state-variable approach. A beam problem is included as an illustration.
Document ID
19730044769
Document Type
Reprint (Version printed in journal)
Authors
Chen, C. F. (Houston, University Houston, Tex., United States)
Chen, M. M. (Boston University Boston, Mass., United States)
Date Acquired
August 7, 2013
Publication Date
April 1, 1973
Publication Information
Publication: International Journal of Control
Subject Category
MATHEMATICS
Funding Number(s)
CONTRACT_GRANT: NGL-44-005-084
Distribution Limits
Public
Copyright
Other