This research explores the impact of kinematic structural nonlinearities on the dynamics of a highly deformable cantilevered wing. Two different theoretical formulations are presented and analysed for nonlinear behavior. The first formulation, which is more conventional, assumes zero equilibrias and structural nonlinearities occur as terms up to third order in the Taylor series expansion of structural nonlinearities. In the second approach, no prior assumption about equilibria states of the wing is made. Kinematic nonlinearities due to curvature and inertia were retained in their exact form. Thus, the former becomes a special case of the latter. This nonlinear formulation permits the analysis of dynamics about nonzero trims. Nonzero trim states are computed as a system parameter is varied using a continuation software tool. The stability characteristics of these trim states are also ascertained. Various bifurcation points of the system are determined. Limit-cycle oscillations are also investigated for and are characterized in terms of amplitude of vibration. The research in particular examines the impact of in-plane degree of freedom on the stability of nonzero trim states. The effect of variation of system parameters such as stiffness ratio, aspect ratio and root angle of attack is also studied. The method of direct eigenanalysis of nonzero equilibria is novel and new for an aeroelastic system.

Thesis (Ph. D.)--Columbia University, 1922. / Author's name on label mounted on t.p. Vita. Published also as pt. 1 of Bulletin no. 73. Trade and industrial series no. 22, of the U.S. Federal board for vocational education. Bibliography: 1 leaf at end.

Inaug.-diss.--München. / Lebenslauf. "Literatur": 3d-4th prelim. leaves.

Inaug.-diss.--München. / Lebenslauf. "Literatur": 3d-4th prelim. leaves.

Thesis (Ph. D.)--Collumbia University, 1923. / Bibliography: p. 211-215.

Thesis (Ph. D.)--Collumbia University, 1923. / Bibliography: p. 211-215.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1963. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 291-295).

Continuation marks are a programming language feature which generalize stack inspection. Despite its usefulness, this feature has not been adopted by languages which rely on stack inspection, e.g., for dynamic security checks. One reason for this neglect may be that continuation marks do not yet enjoy a transformation to the plain λ-calculus which would allow higher-order languages to provide continuation marks at little cost. We present a CPS-like transformation from the call-by-value λ-calculus augmented with continuation marks to the pure call-by-value λ-calculus. We discuss how this transformation simplifies the construction of compilers which treat continuation marks correctly. We document an iterative, feedback-based approach using Redex. We accompany the transformation with a meaning-preservation theorem.

The superconducting order parameter and the mass renormalization function can be solved either at discrete frequencies along the imaginary axis, or as a function of continuous real frequencies. The latter is done with a method called analytic continuation. The analytic continuation can conveniently be done by approximating a power series to the functions, the Padè approximation. Studied in this project is the difference between the Padè approximation, and a formally exact analytic continuation of the functions. As it turns out, the Padè approximant is applicable to calculate the superconducting order parameter at temperatures sufficiently below the critical temperature. However close to the critical temperature the approximation fails, while the solution presented in this report remains reliable.

Thesis (Ph. D.)--University of Pennsylvania, 1932. / Bibliography: p. 220-231.