LEADER 04031nam 22005415 450 001 9911020415403321 005 20250812130217.0 010 $a3-031-74201-X 024 7 $a10.1007/978-3-031-74201-9 035 $a(CKB)40259088700041 035 $a(MiAaPQ)EBC32261186 035 $a(Au-PeEL)EBL32261186 035 $a(DE-He213)978-3-031-74201-9 035 $a(EXLCZ)9940259088700041 100 $a20250812d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTheory of Gyroscopic Effects for Rotating Objects $eGyroscopic Effects and Applications /$fby Ryspek Usubamatov 205 $a3rd ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (372 pages) 311 08$a3-031-74200-1 327 $aPreface -- Abstract -- Nomenclature -- Gyroscopic effects in engineering -- Acceleration analysis of rotating object -- Inertial forces acting on simple spinning objects -- Properties and specifies of gyroscopic torques -- Mathematical models for motions of a gyroscope suspended from the flexible cord -- Mathematical models for motions of a gyroscope with one side support -- Mathematical models for the top motions and gyroscope nutation -- Gyroscopic effects of deactivation of inertial forces -- Appendix A -- Appendix B. 330 $aThis book highlights an analytical solution for the dynamics of axially rotating objects. It also presents the theory of gyroscopic effects, explaining their physics and using mathematical models of Euler?s form for the motion of movable spinning objects to demonstrate these effects. The major themes and approaches are represented by the spinning disc and the action of the system of interrelated inertial torques generated by the centrifugal and Coriolis forces, as well as the change in the angular momentum. The interrelation of inertial torques is based on the dependency of the angular velocities of the motions of the spinning objects around axes by the principle of mechanical energy conservation. These kinetically interrelated torques constitute the fundamental principles of the mechanical gyroscope theory that can be used for any rotating objects of different designs, like rings, cones, spheres, paraboloids, propellers, etc. Lastly, the mathematical models for the gyroscopic effects are validated by practical tests. This book is highlighted in its already third edition. The new edition comprises many new sections for several chapters or new chapters. The most important ones are: Chapter 3 includes a mathematical model for the section inertia torques acting on the spinning annulus and thin ring. The latter does not have a full solution because the handbooks comprise simplified parameters that cannot be used for an exact solution. Chapter 4 offers mathematical model for the arbitrary disposition of the spinning object in space that shows the action of the additional four inertial torques acting on the third axis and new dependencies of gyroscope motions. Chapter 7 now presents mathematical model for the gyroscope nutation with a full solution. The known mathematical model presents a partial solution due to the complexity of the problem. 606 $aMechanics 606 $aMathematical physics 606 $aEngineering mathematics 606 $aClassical Mechanics 606 $aMathematical Methods in Physics 606 $aEngineering Mathematics 615 0$aMechanics. 615 0$aMathematical physics. 615 0$aEngineering mathematics. 615 14$aClassical Mechanics. 615 24$aMathematical Methods in Physics. 615 24$aEngineering Mathematics. 676 $a531.34 700 $aUsubamatov$b Ryspek$0953468 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911020415403321 996 $aTheory of Gyroscopic Effects for Rotating Objects$92155935 997 $aUNINA