Abstract

A variational principle is formulated for flexible airplanes by the use of Hamilton's principle and equations of motion are derived. Depending on which of the extremum conditions in the variational principle are imposed as subsidiary conditions beforehand, the variational principle is transformed into several forms, which may be called strain energy approach, complementary energy approach and so forth. In the present report, airplanes are treated as continuous elastic bodies. However, extention of the present method to airplanes of conventional structure is straight forward.

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