Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 

 

Optimum configurations for bangless sonic booms


Authors: Wallace D. Hayes and Jr. Weiskopf
Journal: Quart. Appl. Math. 30 (1972), 311-328
DOI: https://doi.org/10.1090/qam/99725
MathSciNet review: QAM99725
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Abstract | References | Additional Information

Abstract: A number of optimization problems are posed and solved for supersonic aircraft flight subject to the condition that a shock wave appears only incipiently in the sonic boom signal at a given point. The principal result is one giving the maximum effective gross weight of an aircraft of given effective length under given flight conditions. The calculus of variations with inequality constraints is used, with the novel features of a non-local isoperimetric relation and of only an upper bound on a control variable.


References [Enhancements On Off] (What's this?)

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  • [9] R. Seebass, Minimum sonic boom shock strengths and overpressures, Nature 221, 651-653 (1969)
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Additional Information

DOI: https://doi.org/10.1090/qam/99725
Article copyright: © Copyright 1972 American Mathematical Society


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