Biomechanics and Biotensegrity: Study Method and Frequency Response of the Simplex and 3-bar-SVD Tensegrity Configurations

摘要

Thepurposeofthisworkistostudythefrequencyresponseof3Dtensegritystructures.Thesearestructuresthathavebeenused,sincethe80's,tomodelbiologicalsystemsofdifferentscales.Thisfactledtotheoriginofthefieldofbiotensegrity,whichincludesbiomechanicsasanaturalfieldofapplication.Inthiswork:a)Asimplemethodfortheanalysisoffrequencyresponseofdifferentnodesin3Dtensegritystructureswassetupandtuned.Thismethodisbasedonavideo-analysisalgorithm,whichwasappliedtothestructures,astheywerevibratedalongtheiraxisofsymmetry,atfrequenciesfrom1Hzto60Hz.b)Frequency-responseanalyseswereperformed,forthesimplest3Dstructure,theSimplexmodule,aswellasfortwotowers,formedbystackingtwoandthreeSimplexmodules,respectively.ResonantfrequenciesweredetectedfortheSimplexmoduleat(19.2±0.1)Hzand(50.2±0.1)Hz(thelatterbeinganaverageoffrequenciesbetweenhomologousnodes).Forthetowerswithtwoandthreemodules,eachselectednodepresentedacharacteristicfrequencyresponse,modulatedbytheirspatialplacementineachmodel.Resonancesforthetwo-stagetowerwerefoundat:(12±0.1)Hz;(16.2±0.1)Hz;(29.4±0.1)Hzand(37.2±0.1)Hz.ForthetowerwiththreeSimplexmodules,themainresonantfrequencieswerefoundat(12.0±0.1)Hzand(21.0±0.1)Hz.Resultsshowthattheproposedmethodisadequateforthestudy(2D)ofany3Dtensegritystructure,withthepotentialofbeinggeneralizedtothestudyofoscillationsinthreedimensions.Agrowingcomplexityandvariabilityinthefrequencyresponseofthenodeswasobserved,asmoduleswereaddedtothestructures.Thesefindingswerecomparedtothosefoundintheavailableliterature...