Le van, Anh, 1960-
Lagrangian mechanics : an advanced analytical approach / Anh Le van, Rabah Bouzidi. - 1 online resource
Includes bibliographical references and index.
Kinematics -- Parameterization and Parameterized Kinematics -- Efforts -- Virtual Kinematics -- Virtual Powers -- Lagrange's Equations -- Perfect Joints -- Lagrange's Equations in the Case of Perfect Joints -- First Integrals -- Equilibrium -- Revision Problems -- Tensors -- Typical Perfect Joints.
Lagrangian Mechanics explains the subtleties of analytical mechanics and its applications in rigid body mechanics. The authors demonstrate the primordial role of parameterization, which conditions the equations and thus the information obtained; the essential notions of virtual kinematics, such as the virtual derivative and the dependence of the virtual quantities with respect to a reference frame; and the key concept of perfect joints and their intrinsic character, namely the invariance of the fields of compatible virtual velocities with respect to the parameterization. Throughout the book, any demonstrated results are stated with the respective hypotheses, clearly indicating the applicability conditions for the results to be ready for use. Numerous examples accompany the text, facilitating the understanding of the calculation mechanisms. The book is mainly intended for Bachelor's, Master's or engineering students who are interested in an in-depth study of analytical mechanics and its applications.
1119629705 9781119629702 9781119629726 1119629721 9781119629719 1119629713
10.1002/9781119629702 doi
9781119629726 Wiley
GBB999037 bnb
019419705 Uk
Lagrangian functions.
SCIENCE--Energy.
SCIENCE--Mechanics--General.
SCIENCE--Physics--General.
Lagrangian functions.
Electronic books.
QC20.7.C3
530.15
Lagrangian mechanics : an advanced analytical approach / Anh Le van, Rabah Bouzidi. - 1 online resource
Includes bibliographical references and index.
Kinematics -- Parameterization and Parameterized Kinematics -- Efforts -- Virtual Kinematics -- Virtual Powers -- Lagrange's Equations -- Perfect Joints -- Lagrange's Equations in the Case of Perfect Joints -- First Integrals -- Equilibrium -- Revision Problems -- Tensors -- Typical Perfect Joints.
Lagrangian Mechanics explains the subtleties of analytical mechanics and its applications in rigid body mechanics. The authors demonstrate the primordial role of parameterization, which conditions the equations and thus the information obtained; the essential notions of virtual kinematics, such as the virtual derivative and the dependence of the virtual quantities with respect to a reference frame; and the key concept of perfect joints and their intrinsic character, namely the invariance of the fields of compatible virtual velocities with respect to the parameterization. Throughout the book, any demonstrated results are stated with the respective hypotheses, clearly indicating the applicability conditions for the results to be ready for use. Numerous examples accompany the text, facilitating the understanding of the calculation mechanisms. The book is mainly intended for Bachelor's, Master's or engineering students who are interested in an in-depth study of analytical mechanics and its applications.
1119629705 9781119629702 9781119629726 1119629721 9781119629719 1119629713
10.1002/9781119629702 doi
9781119629726 Wiley
GBB999037 bnb
019419705 Uk
Lagrangian functions.
SCIENCE--Energy.
SCIENCE--Mechanics--General.
SCIENCE--Physics--General.
Lagrangian functions.
Electronic books.
QC20.7.C3
530.15