Spring 2003 Generalized forces revisited Derived Lagrange s equation from d'Alembert's equation ∑m(8x+16y+22)=∑(Fx+F+F。=) Define virtual displacements sx Substitute in and noting the independence of the 8q,, for each
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 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
• Protein Structure Prediction & Alignment (蛋白质结构预测&比对) • Molecular Dynamics Simulation (分子动力学模拟) • Protein-protein interaction prediction (蛋白质-蛋白质相互作用预测) 蛋白质结构比较 • Global versus local alignment(全局和局部比对) • Measuring protein similarity(结构相似度评估) • Protein structure superposition(结构叠合) • Protein structure alignment(结构比对)