Abstract: A pin-ended column under an arbitrary tangential loading is considered. It is proved by the direct method of Liapunov that the mode of instability in all such problems is by divergence in ...

Abstract: We present improved stability criteria for the generalized equilibria of pseudodissipative systems. Compared to earlier results (Walker, 1988), the new criteria apply to many more kinematically ...

Abstract: In terms of the Lagrange formulation of dynamics, ignorable coordinates are defined for the class of “pseudodissipative” mechanical systems. Reduced equilibria (steady motions) of such systems are ...

Abstract: Sufficient conditions are obtained for the stability and instability of linear conservative gyroscopic systems. The conditions are nonspectral, involve only the definiteness of certain combinations ...

Abstract: A technique is presented for studying the stability of equilibria of linear discrete dynamic systems involving general types of forces: elastic, nonconservative, dissipative, and gyroscopic. The ...

Abstract: A class of mechanical systems called “pseudodissipative” is defined in terms of the Lagrange formulation of dynamics. Generalized equilibria of such systems are studied with regard to their ...

Abstract: The stability of a uniform pin-ended bar having equal principal stiffnesses, subjected to combined torsion and compression, is studied via the direct method of Liapunov for cases in which the ...

Abstract: A specialized Liapunov functional is presented for stability analysis of linear lumped-parameter elastic systems involving completely general types of forces not explicitly dependent on time. This ...