RigidBodyDynamicsAlgorithmspresentsthesubjectofcomputationalrigid-bodydynamicsthroughthemediumofspatial6Dvectornotation.Itexplainshowtomodelarigid-bodysystemandhowtoanalyzeit,anditpresentsthemostcomprehensivecollectionofthebestrigid-bodydynamicsalgorithmstobefoundinasinglesource.Theuseofspatialvectornotationgreatlyreducesthevolumeofalgebrawhichallowssystemstobedescribedusingfewerequationsandfewerquantities.Italsoallowsproblemstobesolvedinfewersteps,andsolutionstobeexpressedmoresuccinctly.Inadditionalgorithmsareexplainedsimplyandclearly,andareexpressedinacompactform.Theuseofspatialvectornotationfacilitatestheimplementationofdynamicsalgorithmsonacomputer:shorter,simplercodethatiseasiertowrite,understandanddebug,withnolossofefficiency.Uniquefeaturesinclude:•Acomprehensivecollectionofthebestrigid-bodydynamicsalgorithms•Useofspatial(6D)vectorstogreatlyreducethevolumeofalgebra,tosimplifythetreatmentofthesubject,andtosimplifythecomputercodethatimplementsthealgorithms•Algorithmsexpressedbothmathematicallyandinpseudocodeforeasytranslationintocomputerprograms•SourcecodeformanyalgorithmsavailableontheinternetRigidBodyDynamicsAlgorithmsisaimedatreaderswhoalreadyhavesomeelementaryknowledgeofrigid-bodydynamics,andareinterestedincalculatingthedynamicsofarigid-bodysystem.Thisbookservesasanalgorithmsrecipebookaswellasaguidetotheanalysisanddeeperunderstandingofrigid-bodysystems.
2025/11/28 3:52:55
2.69MB
Thebookprovidesanextensivetheoreticalaccountofthefundamentalideasunderlyingmachinelearningandthemathematicalderivationsthattransformtheseprinciplesintopracticalalgorithms.Followingapresentationofthebasicsofthefield,thebookcoversawidearrayofcentraltopicsthathavenotbeenaddressedbyprevioustextbooks.
2025/11/28 3:58:49
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