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Öğe Mathematical modeling and simulation of a flexible shaft-flexible link system with end mass(SWETS ZEITLINGER PUBLISHERS, 2004) Ankarali, A; Kalyoncu, M; Botsali, FM; Sisman, TIn this study, the equation of motion of a single link flexible robotic arm with end mass, which is driven by a flexible shaft, is obtained by using Hamilton's principle. The physical system is considered as a continuous system. As a first step, the kinetic energy and the potential energy terms and the term for work done by the nonconservative forces are established. Applying Hamilton's principle the variations are calculated and the time integral is constructed. After a series of mathematical manipulations the coupled equations of motion of the physical system and the related boundary conditions are obtained. Numerical solutions of equations of motion are obtained and discussed for verification of the model used.Öğe Vibration analysis of an elastic robot manipulator with prismatic joint and a time-varying end mass(SPRINGER HEIDELBERG, 2004) Kalyoncu, M; Botsali, FMIn this study, vibration analysis of an elastic robot arm sliding in a rotating prismatic joint is investigated. The elastic robot arm is assumed to carry a time varying end mass. The problem is a moving boundary value problem. The equations of motion of the elastic arm are obtained by using Lagrange's equation of motion. Effect of rotary inertia, axial shortening and gravitation has been considered in developing the dynamic model. The equations of motion are obtained in the form of a set of ordinary differential equations by using admissible functions and the principle of separation of variables. Equations of motion are numerically solved by using the Runge-Kutta method. A computer program is developed for computer simulations. Numerical results of computer simulations for tip deflections are presented in graphical form. Physical trends of the obtained numerical results are discussed.