...P. A. Gradin; P. Isaksson; M. Gulliksson The conditions under which force vectors and corresponding displacement vectors become co-linear are investigated under the assumption of a linear elastic structure and for an arbitrary number of loading points. It is shown that there exist an infinite...

..., previously discounted on the basis of a flawed application of the Newton–Euler method, are verified by using Kane’s method together with a new approach for determining the directions of constraint forces. Dealing with nonholonomic constraint equations within the framework of variational methods...

...Michael M. Zhechev In his book “A Treatise on Analytical Dynamics,” Pars asserted that acceleration-dependent forces are inconsistent with one of the fundamental principles of mechanics, namely, with the superposition principle, thus spreading among mechanical scientists the idea that such forces...

...J. R. Barber; K. Grosh; S. Oh If the stiffness of an elastic system changes with time, a conventional Newtonian statement of the equations of motion will generally lead to solutions that violate the fundamental mechanics principle that the work done by the external forces be equal to the increase...

... the weight mgL and drag force mμ of unit mass and end (outlet, inlet) “tension” forces P 1 * , P 2 * load the string. The equilibrium of moments with respect to the intersection point O of the end forces’ directions gives (26) gLD = μ Ω , where Ω...