?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F192%2F&rft.title=Mathematical+Model+of+the+Mechanics+and+Dynamics+of+the+Tails+in+Dinosaurs&rft.creator=Bohun%2C+C.+Sean&rft.subject=Transport+and+Automotive&rft.subject=None%2FOther&rft.description=In+this+paper%2C+we+investigate+the+effect+of+tails+in+the+locomotion+of+dinosaurs.+We+begin+with+a+survey+of+physical+data+for+both+bipedal+and+quadrupedal+dinosaurs.+The+ratio+of+the+tail+to+leg+length+is+compared+across+many+diverse+species+and+a+scaling+law+is+developed+that+relates+the+tail+length%2C+leg+length+and+tail+radius.+A+continuous+model+for+the+tail+is+then+developed%2C+and+by+nondimensionalising+a+small+parameter+related+to+the+thinness+of+the+tail+simplifies+the+resulting+coupled+nonlinear+equations.+It+is+shown+that+the+resulting+set+of+equations+contain+aspects+of+both+beam+dynamics+and+wave+propagation.++Finally%2C+a+discrete+version+of+the+tail+is+derived+with+the+assumption+that+the+sections+of+the+tail+are+coupled+with+a+stiff+joint+that+allows+rotation+but+does+not+allow+extension.+In+this+model+the+stiffness+of+each+joint+is+characterized+by+an+effective+spring+constant+%24k_i%24+for+the+%24i%24th+joint+and+results+in+a+discrete+version+of+the+Euler-Bernoulli+expression+for+each+of+the+tail+segments.+The+paper+finishes+with+some+preliminary+conclusions+and+directions+for+future+work.&rft.date=2005&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F192%2F1%2Fcalgary.pdf&rft.identifier=++Bohun%2C+C.+Sean++(2005)+Mathematical+Model+of+the+Mechanics+and+Dynamics+of+the+Tails+in+Dinosaurs.++%5BStudy+Group+Report%5D+++++