Consider the uniform beam is subjected to an initial displacement distribution with respect to its original...
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Consider the uniform beam is subjected to an initial displacement distribution with respect to its original position: Please drive eq2 from eq1 The exact solution for the natural frequency of the r-th mode is: W₁ = ΕΙ (rad/s) r = 1, 2,... = (TT)² √√ MLA where E is Young's modulus, and I is the moment of inertia of the beam u2(x1, x2, t = 0) = A (2/17 - 22/1/3 + 1/1(1) (予 eq1 1 (2η + 1)παι sin n=0 (2n+1)5 cos(ŵnt) eq2 L ▲ X2 96A u2(x1, x2,t): = X1 E,I,m where ŵn = [(2n + 1)π]² √ EI mL4 (rad/s) n = 0, 1, 2,... Consider the uniform beam is subjected to an initial displacement distribution with respect to its original position: Please drive eq2 from eq1 The exact solution for the natural frequency of the r-th mode is: W₁ = ΕΙ (rad/s) r = 1, 2,... = (TT)² √√ MLA where E is Young's modulus, and I is the moment of inertia of the beam u2(x1, x2, t = 0) = A (2/17 - 22/1/3 + 1/1(1) (予 eq1 1 (2η + 1)παι sin n=0 (2n+1)5 cos(ŵnt) eq2 L ▲ X2 96A u2(x1, x2,t): = X1 E,I,m where ŵn = [(2n + 1)π]² √ EI mL4 (rad/s) n = 0, 1, 2,...
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To derive eq2 from eq1 we can substitute the given expression for r into eq1 Starting with eq1 Urxt ... View the full answer
Related Book For
Data Structures and Algorithms in Python
ISBN: 978-1118290279
1st edition
Authors: Michael T. Goodrich, Roberto Tamassia, Michael H. Goldwasser
Posted Date:
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