In the free body diagram, provide values for any of the known magnitudes, directions, and points of application for the force vectors and provide variable names for any unknowns (either magnitudes, directions, or distances). This diagram should show all the force vectors acting on the body. \Īs with particles, the first step in finding the equilibrium equations is to draw a free body diagram of the body being analyzed. present and justify the choices made while they are solving problems.demonstrate the knowledge of the principles and the main theories for the study of static and dynamic mechanical systems of rigid bodies.In the oral discussion the student should be able to: to evaluate motion and load acting on a 2D mechanical system. perform kinematic and dynamic analyses of simple 2D mechanical systems.apply the main principles and the main theories for the study of static and dynamic mechanical systems of rigid bodies.In the written exam the student should be able to: a written test, with numerical exercises.Mathematics: fundamentals of matrix algebra and vector analysis, linear ordinary differential equations.įundamentals of Experimental Physics: kinematics, dynamics of the material point, work and energy, system dyanmics. Workshop on exoskeleton/prosthetic arm : kinematics, static and dynamic force analysis. Interaction between vibrations and human body: sensitivity of different organs to vibrations (seminar).ĥ. Theorem of the kinetic energy (power balance).Įxamples: prosthetic arm, volumetric pump. Dynamic equilibrium equations (d’Alembert’s principle). Dynamics of the rigid body: Newton-Euler equations. Equilibrium of the systems of rigid bodies.Ĭenter of gravity and inertia matrix (mass moment of inertia): systems of particles (discrete systems) and rigid bodies (continuous systems).īasic concepts of Newton laws for the particle. Equilibrium of the rigid body: cardinal equations of statics. Examples: double pendulum (prosthetic arm, gym machineries), slider-crank mechanism (volumetric pump).Įquilibrium of the material point. Vector displacement, velocity and acceleration closure equations. Instant Centres of rotation.ĢD kinematics of a system of rigid bodies. Position, velocity and acceleration: cartesian coordinates and polar coordinates approach.ĢD kinematics of a rigid body: velocity and acceleration in a rigid motion. the ability to evaluate motion and load acting on a 2D mechanical system (DD2) Īn opportunity to develop skills in presenting and justifying the choices made while they are solving problems (DD4).īasic concepts of 2D and 3D kinematics of a particle: frame of reference, trajectory, law of motion.the ability to perform kinematic and dynamic analyses of simple 2D mechanical systems (DD2).the knowledge of the principles and the main theories for the study of static and dynamic mechanical systems of rigid bodies (DD1).The main mathematical methods for the study of kinematics, statics and dynamics will be presented and specific medical applications will be analyzed. The aim of the course is to provide students with the basic knowledge for the comprehension of dynamic mechanical systems behavior, by analyzing the applied forces and the motions which follow from them. 055490 - AUTOMATION AND MECHATRONICS MODULE 1Ĭodice Piano di Studio preventivamente approvato. Scuola di Ingegneria Industriale e dell'InformazioneĠ55492 - AUTOMATION AND MECHATRONICS
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