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An in-depth analysis of a clamped beam under differential support displacements. It covers the concepts of displacement, slope, bending moment, and shear stress. The document also discusses the time-dependent nature of the boundary-condition solutions (bcs) and introduces new dependent variables and selects appropriate equations. Useful for students and researchers in the field of mechanical engineering, particularly those focusing on structural analysis and dynamics.
Typology: Slides
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Random vibration analysis of MDOF systems-
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VIBRATION ANALYSIS OF CONTINUOUS SYSTEMS
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11 ^ ^ ^ ^ ,^ ,^ ^ ^ ^ ^ ^1 y x t^ w x t^ ^ h^ x u t^ h^ x v t
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17 0 100 200 300
400 500 600
700 800
-2 10 -4 10 -6 10 -8 10 -10 10 -12 10
frequency rad/s FRF
0.3 x L 0.3 L
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0 100 200 300
400 500 600
700 800
-2 10 -4 10 -6 10 -8 10 -10 10 -12 10 -14 10
frequency rad/s FRF
0.9 x L 0.3 L
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2 2
3 2 2
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Response of beam to a general load
f(t)
Note: the Fourier transform of f(t) is taken to exist
f(t)
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