4.78. Demonstrate that the system modes are orthogonal with respect to the [M] and [K] matrices for the following system: 10 0 07 2 0 500 -50 *2} + -50 400 -20 4 0 - 20 100 x3

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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.6P
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4.78. Demonstrate that the system modes are orthogonal with respect to the [M] and [K] matrices for the
following system:
10 0 0 (,
8-8
500 -50
X1
2 0
*2 +
-50
400 -20
0 4
0 - 20
100
X3
Transcribed Image Text:4.78. Demonstrate that the system modes are orthogonal with respect to the [M] and [K] matrices for the following system: 10 0 0 (, 8-8 500 -50 X1 2 0 *2 + -50 400 -20 0 4 0 - 20 100 X3
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