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    Exact Frequency Equation of a Linear Structure Carrying Lumped Elements Using the Assumed Modes Method 

    Source: Journal of Vibration and Acoustics:;2017:;volume( 139 ):;issue: 003:;page 31005
    Author(s): Cha, Philip D.; Hu, Siyi
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Combined systems consisting of linear structures carrying lumped attachments have received considerable attention over the years. In this paper, the assumed modes method is first used to formulate the governing equations ...
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    An Efficient Method for Tuning Oscillator Parameters in Order to Impose Nodes on a Linear Structure Excited by Multiple Harmonics 

    Source: Journal of Vibration and Acoustics:;2015:;volume( 137 ):;issue: 003:;page 31018
    Author(s): Cha, Philip D.; Buyco, Kenny
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Undamped oscillators are often used to attenuate and control excess vibration in elastic structures. In this paper, vibration absorbers are used to impose nodes, i.e., points of zero vibration, along an arbitrarily supported ...
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    Sensitivity Analysis of Suppressing Vibration by Inducing a Node on a Harmonically Forced Euler–Bernoulli Beam 

    Source: Journal of Vibration and Acoustics:;2022:;volume( 144 ):;issue: 002:;page 21015-1
    Author(s): Shoyer, Kevin; Nakahara, Kevin; Cha, Philip D.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, a properly tuned vibration absorber (spring-mass system) is used to induce a point of zero vibration, or node, anywhere along an arbitrarily supported beam for the purpose of suppressing vibration. Other ...
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    Quenching Vibration on a Symmetric Laminated Composite Plate Excited by Multiple Harmonics Using Inerter-Based Dynamic Vibration Absorbers 

    Source: Journal of Vibration and Acoustics:;2024:;volume( 146 ):;issue: 003:;page 31003-1
    Author(s): Yu, Jiang; Cha, Philip D.; Chen, Jiawang; Yu, Zhefeng; Zhou, Xiang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this article, a simple and efficient method is developed to quench the steady-state vibration of a symmetric laminated composite rectangular plate subjected to multiple harmonics with distinct excitation frequencies. ...
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    Eigenvalues and Eigenvalue Sensitivities of a Beam Supported by Viscoelastic Solids 

    Source: Journal of Vibration and Acoustics:;2014:;volume( 136 ):;issue: 002:;page 21017
    Author(s): Cha, Philip D.; Carbon, Kyle C.; Hsieh, Richard
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The eigenvalues and the first and secondorder eigenvalue sensitivities of a uniform Euler–Bernoulli beam supported by the standard linear solid model for viscoelastic solids are studied in detail. A method is proposed ...
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