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Geometrically Exact Beam Theory-Presentation by Palash Jain

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Nonlinear analysis of slender beams using D. H. Hodges' Geometrically Exact Beam Theory-a complete guide explaining the intricacies of modeling both statics and dynamics of beams. A list of sample problems and the ways of modeling them, particularly useful for structural dynamics, helicopter rotor dynamic analysis and wind turbines
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  Application of Geometrically Exact Beam Formulationfor Modeling Advanced Geometry Rotor Blades Palash Jain Supervisor: Dr. Abhishek July 30 th , 2014 Palash Jain (Supervisor: Dr. Abhishek) Geometrically Exact Beam Theory July 30 th , 2014 1 / 43  Outline 1  Outline 2  Introduction 3  Theory 4  Static Load Deformation AnalysisEquationsProcedureElastica with Tip MomentElastica with Tip LoadPrinceton Beam Experiment 5  Dynamic Frequency AnalysisEquationsSteady State AnalysisPerturbation AnalysisCantilevered ElasticaPrinceton Beam ExperimentMaryland Beam Experiment 6  Conclusion Palash Jain (Supervisor: Dr. Abhishek) Geometrically Exact Beam Theory July 30 th , 2014 2 / 43  Introduction Introduction Aim: To implement the formulation for modeling helicopter rotorblades using Geometrically Exact Beam Theory (henceforthabbreviated as GEBT).GEBT: contains equations describing the overall dynamics of beammembers undergoing arbitrary motions.This presentation will showcase theoretical formulation andimplementation of GEBT to perform static and dynamic analysis of rotor blades with advanced geometry and composite materials. Palash Jain (Supervisor: Dr. Abhishek) Geometrically Exact Beam Theory July 30 th , 2014 3 / 43  Introduction Introduction MotivationBeams: building blocks of many structures in the field of Aerospace,Civil, Mechanical and Biomedical Engineering.Highly deformable structures like helicopter blades, aircraft wings,space structures, shafts and axles require nonlinear analysis.Accurate modeling capabilities could save a lot of time and money insimulating the behaviour of rotor blades under different flightconditions. Palash Jain (Supervisor: Dr. Abhishek) Geometrically Exact Beam Theory July 30 th , 2014 4 / 43

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Jul 23, 2017
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