LEADER 04474nam 2200553 450 001 9910136884003321 005 20170919171524.0 010 $a1-118-95440-8 035 $a(CKB)3710000000657741 035 $a(EBL)4519245 035 $a(MiAaPQ)EBC4519245 035 $a(EXLCZ)993710000000657741 100 $a20160518h20162016 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aDynamics of the rigid solid with general constraints by a multibody approach /$fNicolae Pandrea and Nicolae-Doru Sta?nescu 210 1$aChichester, [England] :$cWiley,$d2016. 210 4$d2016 215 $a1 online resource (436 p.) 300 $aDescription based upon print version of record. 311 $a1-118-95439-4 311 $a1-118-95438-6 320 $aIncludes bibliographical references and index. 327 $aTitle Page; Table of Contents; Preface; 1 Elements of Mathematical Calculation; 1.1 Vectors: Vector Operations; 1.2 Real Rectangular Matrix; 1.3 Square Matrix; 1.4 Skew Matrix of Third Order; Further Reading; 2 Kinematics of the Rigid Solid; 2.1 Finite Displacements of the Points of Rigid Solid; 2.2 Matrix of Rotation: Properties; 2.3 Minimum Displacements: The Chasles Theorem; 2.4 Small Displacements; 2.5 Velocities of the Points of Rigid Solid; 2.6 The Angular Velocity Matrix: Properties; 2.7 Composition of the Angular Velocities; 2.8 Accelerations of the Points of Rigid Solid 327 $aFurther Reading3 General Theorems in the Dynamics of the Rigid Solid; 3.1 Moments of Inertia; 3.2 Momentum: The Theorem of Momentum; 3.3 Moment of Momentum: The Theorem of Moment of Momentum; 3.4 The Kinetic Energy of the Rigid Solid; Further Reading; 4 Matrix Differential Equations of the Motion of Rigid Solid; 4.1 The Differential Equations Obtained from the General Theorems; 4.2 The Lagrange Equations in the Case of the Holonomic Constraints; 4.3 The Equivalence between the Differential Equations Obtained from the General Theorems and the Lagrange Equations 327 $a4.4 The Matrix Differential Equations for the Motion of the Constrained Rigid SolidFurther Reading; 5 Generalized Forces: The Equilibrium of the Rigid Solid; 5.1 The Generalized Forces in the Case of a Mechanical System; 5.2 The General Expressions of the Generalized Forces in the Case of Rigid Solid; 5.3 Conservative Forces; 5.4 The Equilibrium of the Constrained Rigid Solid; 5.5 The Equilibrium of the Heavy Rigid Solid Hanged by Springs; Further Reading; 6 The Motion of the Rigid Solid with Constraints at Given Proper Points; 6.1 General Aspects: Classification 327 $a6.2 Mathematical Aspects: Notations6.3 The Study of the Rigid Solid with a Fixed Point; 6.4 The Rigid Solid with Two Fixed Points (the Rotational Motion of the Rigid Solid); 6.5 The Rigid Solid with a Given Point Situated on a Fixed Surface; 6.6 The Rigid Solid with Several Points Situated on Fixed Surfaces (Curves); 6.7 The Rigid Solid with a Fixed Point and with Another Point Situated on a Fixed Surface; 6.8 The Rigid Solid with Two Given Points Situated on a Fixed Curve; Further Reading; 7 The Motion of the Rigid Solid with Constraints on Given Proper Curves 327 $a7.1 General Aspects: Classification7.2 The Rigid Solid Supported at Fixed Points on Given Proper Curves; 7.3 The Rigid Solid at Which Given Proper Curves Support with Sliding on Fixed Curves; 7.4 Rolling without Sliding of a Curve on a Fixed Curve; 7.5 The Motion of the Rigid Solid at Which the Curves Jointed to It Support with Sliding on Fixed Surfaces; 7.6 The Rolling without Sliding of a Disk Bounded by a Spatial Curve on a Fixed Surface; 7.7 The Rolling without Sliding of a Planar Circle Disk on a Horizontal Plan 327 $a7.8 The Rolling without Sliding of a Planar Elliptic Disk on a Horizontal Plan 606 $aDynamics, Rigid 606 $aMultibody systems 606 $aConstraints (Physics) 608 $aElectronic books. 615 0$aDynamics, Rigid. 615 0$aMultibody systems. 615 0$aConstraints (Physics) 676 $a531/.3 700 $aPandrea$b Nicolae$0932411 702 $aNicolae-Doru Sta?nescu 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910136884003321 996 $aDynamics of the rigid solid with general constraints by a multibody approach$92098144 997 $aUNINA LEADER 01471nam 2200361 n 450 001 996390720203316 005 20221108055331.0 035 $a(CKB)1000000000653278 035 $a(EEBO)2240849722 035 $a(UnM)99848143 035 $a(EXLCZ)991000000000653278 100 $a19911230d1580 uy | 101 0 $aeng 135 $aurbn||||a|bb| 200 02$aA notable treatise of the church$b[electronic resource] $ein which are handled all the principall questions, that haue beene mooued in our time concerning that matter. By Philip of Mornay, Lorde of Plessis Marlyn, Gentleman of Fraunce. Translated out of Frenche into Englishe by I.F. and againe perused [and] corrected 210 $aImprinted at London $cBy Christopher Barker, printer to the Queenes Maiestie$dAnno. Dom. 1580 215 $a384 p 300 $aA translation of: Traicté de l'église. 300 $aTranslator's dedication signed: Io. Feilde. 300 $aReproduction of the original in the Henry E. Huntington Library and Art Gallery. 330 $aeebo-0113 606 $aChurch$vEarly works to 1800 615 0$aChurch 700 $aMornay$b Philippe de$cseigneur du Plessis-Marly,$f1549-1623.$0889038 701 $aFielde$b John$fd. 1588.$01001390 801 0$bCu-RivES 801 1$bCu-RivES 801 2$bCStRLIN 801 2$bWaOLN 906 $aBOOK 912 $a996390720203316 996 $aA notable treatise of the church$92425263 997 $aUNISA