Wave propagation in a hollow cylinder due to prescribed velocity at the boundary

Analyzed is transient response of a hollow cylinder to time dependent radial and axial velocities prescribed at the cylinder's inner boundary. Modal and static solutions are superimposed for solving transient response. Axial dependence is expressed by two orthogonal sets of periodic functions; one set satisfies vanishing axial stress at the cylinder ends and applies to the radial traction problem, and the other set satisfies vanishing shear stress at the ends and applies to the axial traction problem. The mixed boundary value problem with velocity prescribed over part of the boundary and vanishing stress prescribed over the remaining part is analyzed by the method of influence coefficients. This method superimposes response from several external annular traction segments of unit intensity with time dependent weights yielding a combined response equal to the prescribed instantaneous velocity. (C) 2004 Elsevier Ltd. All rights reserved.