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- Politecnico di Milano
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- Mechanical Engineering
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- Mechanical Systems Dynamics
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Reports Experimental report v1
Study material for Mechanical Systems Dynamics, shared by the Studwiz community and reviewed by moderators.
Mechanical Systems DynamicsOther
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Study material for Mechanical Systems Dynamics, shared by the Studwiz community and reviewed by moderators.
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Project 1 - Mechanical System Dynamics Lucio Pinello 939553 Francesco Pirola 939842 Edoardo Francesco Sala 941530 Andrea Testa 940881 1 Contents 1 Introduction 3 2 Experimental test set-up 4 3 F ree-free beam analysis 5 3.1 Boundary conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.2 Mode shapes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4 Data analysis 8 4.0.1 Individuation of the eigen frequencies . . . . . . . . . . . . . . . . . . . . . 8 4.0.2 Slope of the phase diagram method . . . . . . . . . . . . . . . . . . . . . . . 8 4.0.3 Half-power points method . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.0.4 Mode shapes identi cation . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.1 DH 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.1.1 Determination of damping ratios . . . . . . . . . . . . . . . . . . . . . . . . 11 4.1.2 Determination of mode shapes . . . . . . . . . . . . . . . . . . . . . . . . . 12 4.2 DH 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 4.2.1 Determination of damping ratios . . . . . . . . . . . . . . . . . . . . . . . . 14 4.2.2 Determination of mode shapes . . . . . . . . . . . . . . . . . . . . . . . . . 15 4.3 RH 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 4.3.1 Determination of damping ratios . . . . . . . . . . . . . . . . . . . . . . . . 18 4.3.2 Determination of mode shapes . . . . . . . . . . . . . . . . . . . . . . . . . 18 2 1 Introduction The aim of this project is to de ne experimentally the natural characteristics of an aluminum beam in terms of natural frequencies ωi, damping ratios ξi and modes of…
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