03471nam a22005055i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003100118041000800149050001400157072001700171072002300188072002300211082001400234100003200248245007100280260004600351264004600397300003400443336002600477337002600503338003600529347002400565505039400589520152700983650001702510650001702527650001502544650002902559650002402588650002802612650001702640650003902657650003302696650001502729650005902744650002802803710003402831773002002865776003602885856004402921978-1-4020-4835-7DE-He21320141014113437.0cr nn 008mamaa100301s2006 ne | s |||| 0|eng d a97814020483577 a10.1007/1-4020-4835-12doi aeng 4aTA349-359 7aTGMD2bicssc 7aTEC0090702bisacsh 7aSCI0410002bisacsh04a620.12231 aKlarbring, Anders.eauthor.10aModels of Mechanicsh[electronic resource] /cby Anders Klarbring. 1aDordrecht :bSpringer Netherlands,c2006. 1aDordrecht :bSpringer Netherlands,c2006. aXII, 204 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aGeneral Background -- Open scheme -- Basic Models: Geometry and Universal Laws -- Bodies and Their Placements in ? -- Discrete Model -- One-Dimensional Model -- Pipe Flow -- Three-Dimensional Model -- Complete Models by Adding Particular Laws -- Particular Laws -- Small Displacement Models -- Pipe Flow Models -- Models of Fluid Mechanics -- Kinematic Constraints, Beams and Rigid Bodies. aThis isatextbook onmodels andmodelling inmechanics. The term model, or more precisely mathematical model, refers to a mathematical problem with an observational or experimental connection to the real physical world. By modelling is meant the intellectual process of obtaining a model. Mechanics inthiscontextinvolvesnotonlythemechanicsofmasspointsandrigidbodies, but also continuum mechanics of solids and ?uids as well as traditional en- neering mechanics of beams, cables, pipe ?ow and wave propagation. Thus, thetextmay be conceived as having an unusually largescopeonrelatively few pages; this is made possible througha uni?ed approach provided by the open scheme of classical mechanics. The open scheme consists of concepts of time and space together with universal laws of mass conservation, and linear and angular momenta. By this an almost algorithmic approach to modelling emerges,whichformsthe connectingthread ofthetext. Thisuni?ed approach toengineering mechanics in a broad sense may bethe most important novel featureofthisbook. Thebookiswritten at anintermediate level. An extensive and ideal ba- ground is basic courses in engineering mechanics, mechanics of materials, structural mechanics and ?uid mechanics, as well as applied courses in the machine design or the civil engineering areas. A student having part of such a backgroundwill heregetthe knowledgethatmakesit possibletoorganizeand structure more e?ectively what she has learnt before, as well as a platform for studying and deriving new models. 0aEngineering. 0aMathematics. 0aMechanics. 0aEngineering mathematics. 0aMechanics, applied. 0aMechanical engineering.14aEngineering.24aTheoretical and Applied Mechanics.24aApplications of Mathematics.24aMechanics.24aAppl.Mathematics/Computational Methods of Engineering.24aMechanical Engineering.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978140204834040uhttp://dx.doi.org/10.1007/1-4020-4835-1