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Online ISSN 1552-4485; Print ISSN 0033-569X
On the problem of minimizing the volume of a vibrating cantilever
Authors:
Souhail El-Asfouri, Olin Johnson and Bayliss McInnis
Journal:
Quart. Appl. Math. 34 (1976), 203-206
MSC:
Primary 73.49
DOI:
https://doi.org/10.1090/qam/449133
MathSciNet review:
449133
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References | Similar Articles | Additional Information
- Kosla Vepa, On the existence of solutions to optimization problems with eigenvalue constraints, Quart. Appl. Math. 31 (1973), 329–341. MR 428893, DOI https://doi.org/10.1090/S0033-569X-1973-0428893-8
- Frithiof I. Niordson, On the optimal design of a vibrating beam, Quart. Appl. Math. 23 (1965), 47–53. MR 175392, DOI https://doi.org/10.1090/S0033-569X-1965-0175392-8
- W. E. Bosarge Jr. and O. G. Johnson, Error bounds of high order accuracy for the state regulator problem via piecewise polynomial approximations, SIAM J. Control 9 (1971), 15–28. MR 0289179 D. E. Kirk, Optimal control theory, Englewood Cliffs, New Jersey: Prentice Hall, 1970
- W. E. Bosarge Jr. and O. G. Johnson, Numerical properties of the Ritz-Trefftz algorithm for optimal control., Comm. ACM 14 (1971), 402–406. MR 0290534, DOI https://doi.org/10.1145/362604.362612
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Article copyright:
© Copyright 1976
American Mathematical Society