Lecture 7

# Lecture 7 - MECHANICAL VIBRATIONS BMM3553 LECTURE 7 Todays...

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MECHANICAL VIBRATIONS BMM3553 LECTURE 7

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Today’s Objectives Students will be able to: Develop Equation of Motion (EOM) for Undamped Two-DOF Free Vibration Determine natural frequencies and mode shape of Undamped Two-DOF Free Vibration
© 2011 Mechanical Vibrations Fifth Edition in SI Units 3 Introduction The general rule for the computation of the number of degrees of freedom can be stated as follows: = No. of degrees of freedom of the system No. of masses in the system x no. of possible types of motion of each mass

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Two Degree of Freedom System Free Vibration without Damping Keywords natural frequencies mode shapes Introducing the third dynamic characteristics, namely the mode shape
Two Degree of Freedom System Mathematical model for 2 DOF system (translation motion) ) 2 . 7 ( 0 ) ( ) 1 . 7 ( 0 ) ( 0 ) ( 0 ) ( 2 2 1 2 2 2 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 x k k kx x m kx x k k x m x x k x k x m x x k x k x m

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Two Degree of Freedom System Vibrations are usually harmonic in nature and it is reasonable to assume that Substitute into (2.1) and (2.2) ) sin( ) sin( ) sin( ) sin( 2 2 2 1 2 1 2 2 1 1
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• Fall '16
• Sin, natural frequencies, Mode shape

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