14.2.1 - Mathematical Modeling
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Practice Questions
Test your understanding with targeted questions
What does the mass represent in a mass-spring-damper system?
💡 Hint: Think about what the structure's weight would influence.
What effect does damping have on vibrations?
💡 Hint: Consider how dampers in cars reduce shake during driving.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the term 'natural frequency' refer to in an SDOF system?
💡 Hint: Think about how a guitar string vibrates when plucked.
True or False: More damping results in higher amplitudes of vibration.
💡 Hint: Consider how shocks are absorbed in car suspensions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A 15 kg mass is attached to a spring with a stiffness of 300 N/m. Calculate the natural frequency of this system and explain its implications for structural design.
💡 Hint: Use the relationship between mass and stiffness to derive frequency.
Discuss how you would model a tall building as an SDOF system to evaluate its response to an earthquake. Consider mass, stiffness, damping, and natural frequency in your answer.
💡 Hint: Build from base physical principles to arrive at a complete structural model.
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