 About 16,000 results  books.google.com B Formulation of the D'AlembertLagrange principle In mechanics, tangent
vectors to the configuration manifold are called virtual variations. The D'Alembert
Lagrange principle states: (+£.,) for any virtual variation £, or stated differently,
the ... 

 books.google.com 502 COMPUTATIONS COMPUTATIONS Projection Principle, Maximum
Likelihood Principle, Correspondence Principle ... Lagrange Variation Principle;
D'Alembert Principle; Gauss Principle; Hamilton Lagrange Principle; Jaynes'
Principle; ... 

 books.google.com d'AlembertLagrange principle the positions of the system in its real motion are
compared with infinitely close positions permitted by the constraints at the given
moment of time. According to the d'AlembertLagrange principle, during a real ... 

 books.google.com d'AlembertLagrange principle the positions of the system in its real motion are
compared with infinitely close positions permitted by the constraints at the given
moment of time. According to the d'AlembertLagrange principle, during a real ... 

 books.google.com PR5 Given a gauge transformation of a Lagrangian, that is L\t,q,q) = L(t,q,q)+4L(t,
q) dt where /is a function of class C2 of ... Sq' Sq' 1.3 D'ALEMBERTLAGRANGE
PRINCIPLE; LAGRANGE EQUATIONS 1.3.1 D'AlembertLagrange Principle ... 

 books.google.com But it is called by different names such as the application of the principle of D'
Alembert (Mach 1907, page 336), the generalized principle of D'Alembert (
Meirovitch 2004) orthe Lagrangian form of D'Alembert's principle (Greenwood ... 

 books.google.com (3.2) This relation, generated as a consequence of equations (2.22), give the D'
Alembert–Lagrange principle. We shall show how equations (2.22) can be
obtained from this principle. Multiplying each of relations (3.1) by Λκ,
summarizing over ... 

 books.google.com Definition (the d'AlembertLagrange principle). The admissible (i.e., allowed by
the constraints) smooth path q: A → M is called a motion of the constrained
Lagrangian system (M, L, S) if for every tea, [L],0.4 =0 for all virtual velocities & at
the ... 

 books.google.com ... at each time instant, the sum of elementary works of all active forces Fj and
forces of inertia Φj on any virtual displacement of the system is zero. The
mathematical statement of the d'Alembert–Lagrange principle is ∑ ∑ j δAFj + j
δAΦj = 0. 

 books.google.com The correctness of this definition follows from Lemma 2. Definition (the d'Alembert
Lagrange principle). The admissible (i.e., allowed by the constraints) smooth
path q: A → M is called a motion of the constrained Lagrangian system (M, L, S) if
... 

 