Abstract: Given a conservative dynamical system we determine where, and in what quantity, dissipative mechanisms should be placed in order to best absorb an initial disturbance. We work in the context ...

Abstract: We examine submerged nonlinear tubular columns with slenderness ratios between 40 and 160 and ratios of diameter to thickness between 20 and 50. We demonstrate that the column’s Euler buckling ...

Abstract: We show that one may construct a Lyapunov function for any classically damped linear system. The explicit nature of the construction permits us to show that it remains a Lyapunov function ...