Spring 2003 Lagrange's equations Joseph-Louis lagrange 1736-1813 http://www-groups.dcs.st-and.ac.uk/-history/mathematicians/lagranGe.html Born in Italy. later lived in berlin and paris Originally studied to be a lawyer Interest in math from reading halleys 1693 work on
NUMERICAL SOLUTION GIEN A COMPLEX SET of OYNAMICS (t)=F(x) WHERE F() COULD BE A NONLINEAR FUNCTION IT CAN BE IMPOSS IBLE To ACTVALLY SOLVE FoR ( ExACTLY. OEVELOP A NUMERICAL SOLUTION. CANNED CoDES HELP US THIS TN MATLAB BUT LET US CONSDER THE BASiCS
Spring 2003 Derivation of lagrangian equations Basic Concept: Virtual Work Consider system of N particles located at(, x2, x,,.x3N )with 3 forces per particle(f. f, f..fn). each in the positive direction
Review Recursive Inverse dynamics Inverse Dvnamics-Known joint angles o> compute joint torques 1)Outward Recursion -Kinematic Computation Known 0.0.0 Compute t, From 0 to n, recursively based on geometrical and differential relationship associated with each link
a Positivism / Anti-positivism Chapter one Auguste comte the law of human progress the theological---the metaphysical--- the positive social statics and social dynamics
Cartesian Configuration . C Ty A. Lasky Configuration. Articulated Configurati Configuration. Gantry Configuratio 101.2 Dynamics and Control Independent Joint Control of the Robot. Dynamic Models iversity of California, Dav omputed Torque Methods. Adaptive Control. Resolved R Lal tummala Motion Control. Compliant Motion. Flexible Manipulators Justification. Implementation Strategies. Applications in Nicholas G. Drey
NMR spectroscopy in structure-based drug design Gordon CK Roberts NMR methods for the study of motion in proteins continue Structure and dynamics of the binding site improve, and a n d complexes Methodological developments in NMR of macromolecules relevant to drug design
