Thisbookformulatesthelargedeformationofa3-Dcompliantbeamasaboundaryvalueproblem(BVP).Unlikeothermethods,suchasfiniteelement(FE)method,thatformulateproblemsbasedondisplacementsand/orrotationalangles,theBVPformulationhasbeenderivedusingcurvaturesthataremorefundamentalinpresentingnonlineargeometries.Sinceinthecaseoffiniterotation,superpositionholdsforcurvaturesbutnotforrotationalangles,themodelismuchsimplerandtheresultingcomputationalprocessismoreefficient.Theaboveadvantageshavebeenemployedinthisresearchtoanalyzecompliantmechanismdesignsusingcurvature-basedbeammodels.Alongwiththemethodofderivingthecompliantmembersinthesameglobalreferenceframe,ageneralizedconstraintactingonacompliantmechanismispresentedtoreplacetraditionalboundaryconstraints(suchasfixed,pinnedorslidingconstraint)wherenoneoronlyonedegreeoffreedom(DOF)isallowed.Inspiredbythedexterityofanaturalbiologicaljointthatoffersefficientmulti-axisrotation,thisresearchextendstothemodelingmethodofageneralizedconstraint(orreferredtohereas
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