introduction to the theory of vibrations

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  • 8/2/2019 Introduction to the Theory of Vibrations

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  • 8/2/2019 Introduction to the Theory of Vibrations

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    0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 01 1 1 1 1 11 1 1 1 1 11 1 1 1 1 1fa

    0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 01 1 1 1 1 11 1 1 1 1 11 1 1 1 1 10 0 01 1 1F(t)b

    mg

  • 8/2/2019 Introduction to the Theory of Vibrations

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    Short, squat structure has

    short natural period and is

    more regid.

    Tall, slender structure has

    long natural period and ismore flexible

    a b

    Direction of Vibration

    -

  • 8/2/2019 Introduction to the Theory of Vibrations

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    T1

    T2

    T3

    Force

    T

    time

  • 8/2/2019 Introduction to the Theory of Vibrations

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    T1

    T2

    T3

    T1 T2 T3Natural Period

    MaximumRe

    sponse

    Force

    T

    time