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WEEK-2: Governing equation of SDOF systems

WEEK-2: Governing equation of SDOF systems. Assoc. Prof. Dr. Abdullah Seçgin. Governing equation (Equation of motion) of SDOF systems. a) By equivalent energy method. Example: Find equivalent stiffness using “ Equivalent energy method ”.

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WEEK-2: Governing equation of SDOF systems

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  1. WEEK-2: Governing equation of SDOF systems Assoc. Prof. Dr. Abdullah Seçgin

  2. Governing equation (Equation of motion) of SDOF systems a) By equivalent energy method

  3. Example: Find equivalent stiffness using “Equivalent energy method”

  4. Example: Find equivalent mass using “Equivalent energy method”

  5. Example: Find equation of motion of the following system by using Equivalent energy method.

  6. b) By Newton’s Second Law Equation of motion (Governing equation)

  7. Free-Body Diagram (FBD) FBD System

  8. Example: Find equation of motion of the following system by using Newton’s Second Law.

  9. Example: Find equation of motion of the following system by using Newton’s Second Law. c c

  10. Example: Find equation of motion of the following system by using Newton’s Second Law.

  11. Example: Find governing equations by a) Equivalent energy b) Newton’s Second Law by defining equivalent mass, stiffness and damping constant SOLVED DURING THE CLASS

  12. Do it yourself ! Do it yourself ! Example:Show that the system’s equation of motion is • By equivalent energy method • By Newton method

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