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Common terms and phrases
acceleration analysis angular velocity assumed axis axos center of gravity circular cylindrical shell continuity conditions coordinate system deal of fundamental determination displacements dynamical problems edge conditions eight arbitrary constants ENGINEERING RESEARCH INSTITUTE equation 13 Equations of Motion F₁ F1 and F3 forces F1 fundamental research inertia forces inverse transform Laplace loaded method middle surface Motion of Cylindrical natural frequencies normal modes nose obtained P₂ problem as complicated problems of shells Px ph quantities Px reactive forces reference RESEARCH INSTITUTE UNIVERSITY resultant force resultants and couples rigid body sin ß single eighth-order solution solved stress resultants symmetrical system X tail thin circular cylindrical third of equation time-dependent boundary conditions torpedo transformed characteristic equation transformed frequency equation unit vectors UNIVERSITY OF MICHIGAN V₁ velocity vector W X W X w₂ w₂r3 water-entry X=0 sin ẞds yp² азг