32.4.4 - Orthogonality of Modes
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Practice Questions
Test your understanding with targeted questions
What does orthogonality in mode shapes mean?
💡 Hint: Consider if they interact or not.
Give an example of an MDOF system.
💡 Hint: Think of structures sensitive to vibrations.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is orthogonality in the context of mode shapes?
💡 Hint: Think about how they relate to each other.
True or False: The dot product of orthogonal mode shapes equals zero.
💡 Hint: Focus on the mathematical definition.
2 more questions available
Challenge Problems
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Given a multi-degree-of-freedom structural system with three distinct modes, derive the response expression if the modes are orthogonal.
💡 Hint: Consider how each mode's contribution adds up without interference.
Discuss the implications of ignoring the orthogonality of modes in a structural analysis scenario.
💡 Hint: Think about how calculations could become complex.
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