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    The Mixed-Body Model: A Method for Predicting Large Deflections in Stepped Cantilever Beams

    Source: Journal of Mechanisms and Robotics:;2022:;volume( 014 ):;issue: 004::page 41001-1
    Author:
    Sargent, Brandon S.
    ,
    Ynchausti, Collin R.
    ,
    Nelson, Todd G.
    ,
    Howell, Larry L.
    DOI: 10.1115/1.4053376
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents a method for predicting endpoint coordinates, stress, and force to deflect stepped cantilever beams under large deflections. This method, the mixed-body model or MBM, combines small deflection theory and the pseudo-rigid-body model for large deflections. To analyze the efficacy of the model, the MBM is compared to a model that assumes the first step in the beam to be rigid, to finite element analysis, and to the numerical boundary value solution over a large sample set of loading conditions, geometries, and material properties. The model was also compared to physical prototypes. In all cases, the MBM agrees well with expected values. Optimization of the MBM parameters yielded increased agreement, leading to average errors of <
     
    0.01 to 3%. The model provides a simple, quick solution with minimal error that can be particularly helpful in design.
     
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      The Mixed-Body Model: A Method for Predicting Large Deflections in Stepped Cantilever Beams

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4285509
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    contributor authorSargent, Brandon S.
    contributor authorYnchausti, Collin R.
    contributor authorNelson, Todd G.
    contributor authorHowell, Larry L.
    date accessioned2022-05-08T09:43:47Z
    date available2022-05-08T09:43:47Z
    date copyright2/18/2022 12:00:00 AM
    date issued2022
    identifier issn1942-4302
    identifier otherjmr_14_4_041001.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4285509
    description abstractThis paper presents a method for predicting endpoint coordinates, stress, and force to deflect stepped cantilever beams under large deflections. This method, the mixed-body model or MBM, combines small deflection theory and the pseudo-rigid-body model for large deflections. To analyze the efficacy of the model, the MBM is compared to a model that assumes the first step in the beam to be rigid, to finite element analysis, and to the numerical boundary value solution over a large sample set of loading conditions, geometries, and material properties. The model was also compared to physical prototypes. In all cases, the MBM agrees well with expected values. Optimization of the MBM parameters yielded increased agreement, leading to average errors of <
    description abstract0.01 to 3%. The model provides a simple, quick solution with minimal error that can be particularly helpful in design.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Mixed-Body Model: A Method for Predicting Large Deflections in Stepped Cantilever Beams
    typeJournal Paper
    journal volume14
    journal issue4
    journal titleJournal of Mechanisms and Robotics
    identifier doi10.1115/1.4053376
    journal fristpage41001-1
    journal lastpage41001-11
    page11
    treeJournal of Mechanisms and Robotics:;2022:;volume( 014 ):;issue: 004
    contenttypeFulltext
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