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Physics /EML4225 Lecture 1: Introduction to Vibrations

EML4225 Lecture 1: Introduction to Vibrations

Physics10 CardsCreated 13 days ago

This deck covers the basics of vibrations, free vibration, and the spring-mass model. It includes key concepts such as simple pendulum, equation of motion, natural frequency, and simple harmonic motion.

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What is vibration?

Vibration is the repetitive motion of an object relative to a reference point.
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Key Terms

Term
Definition
What is vibration?
Vibration is the repetitive motion of an object relative to a reference point.
Why is vibration important in engineering?
Vibration influences the design and performance of engineering systems, and can be harmful or useful.
What types of vibration are there in nature?
Vibration can be harmful, such as in rotary machines, or useful, such as in ultrasonic cleaning and vibration harvesting.
How is vibration modeled and analyzed?
Vibration is modeled mathematically using Newton's Laws, Energy Method, Lagrange Principle, or Hamilton Principle.
What foundational knowledge is essential to study vibration?
Dynamics, differential equations, matrices analysis, mathematical modeling, and strength of materials are essential to study vibration.
What kind of motion does a simple pendulum have when it starts swinging?
The pendulum has rotational motion about point O.
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EML4225 Lecture 1: Introduction to Vibrations
TermDefinition
What is vibration?
Vibration is the repetitive motion of an object relative to a reference point.
Why is vibration important in engineering?
Vibration influences the design and performance of engineering systems, and can be harmful or useful.
What types of vibration are there in nature?
Vibration can be harmful, such as in rotary machines, or useful, such as in ultrasonic cleaning and vibration harvesting.
How is vibration modeled and analyzed?
Vibration is modeled mathematically using Newton's Laws, Energy Method, Lagrange Principle, or Hamilton Principle.
What foundational knowledge is essential to study vibration?
Dynamics, differential equations, matrices analysis, mathematical modeling, and strength of materials are essential to study vibration.
What kind of motion does a simple pendulum have when it starts swinging?
The pendulum has rotational motion about point O.
How does the pendulum move and what does its path look like?
After release, the pendulum oscillates back and forth in both clockwise and counterclockwise directions.
What is the procedure to determine the equation of motion of a simple pendulum?
Utilize Newton's 2nd law in rotational form, then use energy method or Lagrange principle.
What is the natural frequency of a simple pendulum?
The natural frequency of a simple pendulum is ωn = √(g/L), where g is the acceleration due to gravity and L is the length of the pendulum.
What is the natural frequency of a spring-mass system?
The natural frequency of a spring-mass system is ωn = √(k/m), where k is the spring constant and m is the mass.