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Castigliano\u2019s first theorem and the Crotti\u2013Engesser theorem, which do not require the problem being solved to be linear, are selected to construct the energy-based kinetostatic modeling framework for compliant mechanisms in this work. Utilization of these two theorems requires explicitly formulating the strain energy in terms of deflections and the complementary strain energy in terms of loads, which are derived based on the beam constraint model. The kinetostatic modeling of two compliant mechanisms are provided to demonstrate the effectiveness of the explicit formulations in this framework derived from Castigliano\u2019s first theorem and the Crotti\u2013Engesser theorem.<\/jats:p>","DOI":"10.1115\/1.4050472","type":"journal-article","created":{"date-parts":[[2021,3,11]],"date-time":"2021-03-11T16:54:51Z","timestamp":1615481691000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":29,"title":["An Energy-Based Framework for Nonlinear Kinetostatic Modeling of Compliant Mechanisms Utilizing Beam Flexures"],"prefix":"10.1115","volume":"21","author":[{"given":"Guimin","family":"Chen","sequence":"first","affiliation":[{"name":"State Key Laboratory for Manufacturing Systems Engineering, Shaanxi Key Lab of Intelligent Robots, Xi\u2019an Jiaotong University, Xi\u2019an, Shaanxi 710049, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fulei","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an, Shaanxi 710071, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ruiyu","family":"Bai","sequence":"additional","affiliation":[{"name":"School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an, Shaanxi 710071, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Weidong","family":"Zhu","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, University of MarylandBaltimore County, Baltimore, MD 21250"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Spencer P.","family":"Magleby","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Brigham Young University, Provo, UT 84602"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Larry L.","family":"Howell","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Brigham Young University, Provo, UT 84602"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"33","published-online":{"date-parts":[[2021,5,13]]},"reference":[{"key":"2021051317174338100_CIT0001","volume-title":"Compliant Mechanisms","author":"Howell","year":"2001"},{"issue":"2","key":"2021051317174338100_CIT0002","doi-asserted-by":"publisher","first-page":"021008","DOI":"10.1115\/1.4048135","article-title":"Numerical Framework and Design Optimization of An Intrinsically Compliant 3-DOF Parallel Robot","volume":"21","author":"Hussain","year":"2021","journal-title":"ASME J. 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