Abstract: An extension of the usual rotational superposition is developed from geometrical considerations. This approach relates the solution of any dynamic or static elasticity problem which corresponds ...

Abstract: An analytical approach is developed for dealing with the sudden stopping of a shear dislocation that acts over an expanding circular or elliptical region. The analysis begins with the case of ...

Abstract: The superseismic stage of contact between a rigid punch and a linearly elastic medium is studied by the self-similar potential technique. It is shown that the instantaneous values of contact ...

Abstract: Methods are studied that permit larger time intervals to be used in structural dynamics calculations than are possible by the usual techniques. The size of time interval is often restricted by the rapidity of variation in ...

Abstract: A crude analysis of a dynamic system involves very few degrees of freedom. When a more refined model is desired, more degrees of freedom must be introduced. This will increase the number of modes present and result in modes ...

Abstract: An efficient solution method is presented to solve the eigenvalue problem arising in the dynamic analysis of nonproportionally damped structural systems. The proposed method is obtained by applying the modified Newton-Raphson ...