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dc.contributor.authorAllen, James Brandonen_US
dc.description.abstractIn this study we investigate the propagation of uncertainties in the input forces through a mechanical system. The system of interest was a wheel loader, but the methodology developed can be applied to any multibody systems. The modeling technique implemented focused on efficiently modeling stochastic systems for which the equations of motion are not available. The analysis targeted the reaction forces in joints of interest.

The modeling approach developed in this thesis builds a foundation for determining the uncertainties in a Caterpillar 980G II wheel loader. The study begins with constructing a simple multibody deterministic system. This simple mechanism is modeled using differential algebraic equations in Matlab. Next, the model is compared with the CAD model constructed in ProMechanica. The stochastic model of the simple mechanism is then developed using a Monte Carlo approach and a Linear/Quadratic transformation method. The Collocation Method was developed for the simple case study for both Matlab and ProMechanica models.

Thus, after the Collocation Method was validated on the simple case study, the method was applied to the full 980G II wheel loader in the CAD model in ProMechanica.

This study developed and implemented an efficient computational method to propagate computational method to propagate uncertainties through â black-boxâ models of mechanical systems. The method was also proved to be reliable and easier to implement than traditional methods.

dc.publisherVirginia Techen_US
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Virginia Tech or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectCaterpillar 980G Series II wheel loaderen_US
dc.subjectpolynomial chaos collocationen_US
dc.subjectstochastic rigid body modelingen_US
dc.subjectNewtonian projection methoden_US
dc.titleEstimating Uncertainties in the Joint Reaction Forces of Construction Machineryen_US
dc.contributor.departmentMechanical Engineeringen_US
dc.description.degreeMaster of Scienceen_US of Scienceen_US Polytechnic Institute and State Universityen_US Engineeringen_US
dc.contributor.committeechairSandu, Corinaen_US
dc.contributor.committeememberAhmadian, Mehdien_US
dc.contributor.committeememberWicks, Alfred L.en_US

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