We consider two dimensional topological Landau-Ginzburg models. In order to obtain the free energy of these models, and to determine the Kähler potential for the marginal perturbations, one needs to determine flat or ‘special’ coordinates that can be used to parametrize the perturbations of the superpotentials. This paper describes the relationship between the natural Landau-Ginzburg parametriz...

Particle swarm optimization (PSO) algorithm is a heuristic optimization technique based on colony intelligence, developed through inspiration from social behaviors of bird flocks and fish schools. It is widely used in problems in which the optimal value of an objective function is searched. Geometrically nonlinear analysis of trusses is a problem of this kind. The deflected shape of the truss w...

In this work we derive the principle of stationary total potential energy in structural dynamics firstly presented by the second of the authors and demonstrate its application to the formulation of structural dynamic problems. The analysis procedure is performed in terms of pre-defined potential energy of the vibrating structure. The implementation implies that the entire structural system plus...

in classical mechanics, considering hook’s law stress is a linear function of strain. while in strain gradient theory stress is a function of strain and strain differentials. in this paper, novel formulation relating stress and strain and also new boundary conditions are derived based on minimum potential energy principle. in strain gradient theory a length coefficient parameter is defined. thi...

In the present research, a method to model pose error of machine tool feed system is proposed based on principle minimum potential energy. Firstly, force-moment equilibrium equation established by mechanical analysis. Secondly, force single slider analyzed Hertzian contact theory, and state under action guideway obtained. The elastic displacements in horizontal vertical directions are solved mi...

a closed form three-dimensional solution is presented for determination of the local buckling (cell buckling) load of the nanosheets. moreover, an expression is proposed for the effective 2d young’s modulus of the unit cell of the nanosheet. in this regard, a three-dimensional efficient space-frame-like geometrical model with angular and extensional compliances is considered to investigate stab...