Let G be an undirected graph on n vertices and let S(G) be the set of all real symmetric n × n matrices whose nonzero off-diagonal entries occur in exactly the positions corresponding to the edges of G. The inverse inertia problem for G asks which inertias can be attained by a matrix in S(G). We give a complete answer to this question for trees in terms of a new family of graph parameters, the ...

The effect of prismatic joint inertia on dynamics of planar kinematic chains with friction is investigated. The influence of the prismatic joint inertia on the position of the application point of the joint reaction forces and on the dynamic response of a planar robot arm with feedback control is analyzed. Larger values of the initial condition response characteristics are observed for larger v...

This paper discusses the inertia tensors of tennis rackets and their influence on the elbow swing torques in a forehand motion, the loadings transmitted to the elbow from central and eccentric impacts, and the racket acceleration responses from central and eccentric impacts. Inertia tensors of various rackets with similar mass and mass center location were determined by an inertia pendulum and ...

algorithm was applied to the two-dimensional non-guillotine rectangular packing problems. In this study, two different weight mechanisms in the PSO algorithm are used: fixed inertia weight and nonlinear varying inertia weight. The nonlinear varying inertia weights help to improve the speed of convergence and the search ability. In order to compare the performances of these weight mechanisms, a ...

In this work we calculate the total mass, radius, moment of inertia, and surface gravitational redshift for neutron stars using various equations of state (EOS). The latter are derived from the recent meson-exchange potential models of the Bonn group, and we derive both a non-relativistic and a relativistic EOS. Of importance here is the fact that relativistic BruecknerHartree-Fock calculations...