# chap91 - CHAPTER 8 Vibration and Dynamics An unconstrained...

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1 CHAPTER 8: Vibration and Dynamics ± An unconstrained rigid body moves under load but doesn’t deform (subject of undergraduate rigid-body dynamics). ± A constrained rigid body doesn’t move and doesn’t deform under load. ± An unconstrained elastic body moves under load and deforms (e.g., an airplane). ± A constrained elastic body doesn’t undergo rigid-body motion but deforms under load. ± If the load varies in time not very slowly or is suddenly applied, a vibration/dynamic analysis is required. ± If the load is cyclic , so is the deformation. Such deformation is called vibration .

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2 Examples of Vibration; Quantities of Interest ± If the load is transient, random, or applied suddenly, the motion of the elastic body is called the transient response . ± Some engineering problems where vibration is of concern: ² inside a car due to pavement roughness, ² aircraft wings and fuselage due to atmospheric disturbances, ² vibration of a shop floor due to rotating machinery , ² vibration of buildings due to an earthquake. ± Quantities of interest in a vibration analysis: ² the largest acceleration in the structure, ² the largest stresses, ² the largest displacement, ² whether a structure will resonate under the loading.
3 Matrices Involved in Dynamic Analysis

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chap91 - CHAPTER 8 Vibration and Dynamics An unconstrained...

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