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Ch6-1(1-3)c - 1 MAE351 Mechanical Vibrations Lecture...

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2009-04-22 1 1 MAE351 Mechanical Vibrations Lecture 25 (Chap. 6.1-6.3) 2 Chapter 6 Distributed Parameter Systems Extending the first 5 chapters to systems with distributed mass and stiffness properties: strings, rods, beams, membranes, and plates (“ continuous ” systems)
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2009-04-22 2 3 Continuous systems Discrete or lumped parameter system: ODE Distributed or continuous system: PDE ( DOF) String Rod, Beam Membrane Plate 4 6.1 Vibration of a String or Cable Start by considering a uniform string stretched between two fixed boundaries Assume constant axial tension in string L t di t ib t d f Let a distributed force f ( x , t ) act along the string , w x t
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