16.61 Aerospace Dynamics 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
16.61 Aerospace Dynamics 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
16.61 Aerospace Dynamics 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
EROSPACE DYNAMiCS EXAMPLE: GWE ACCELERATIoN of THE TIP 0F认ERU0毛R人TM5Hc人AF LDk小 G For A650LUT # CCELER升T10 N UTH RES/∈ct T0wE工NERT1 AL FRAME (∈ TH IN THiS CASE) 0EFNE兵8uNcH0 f PoINTS
1.营销渠道是什么( What is the nature of marketingChannels)? 2.公司在设计、管理、评价和修正其渠道时将面临什么fG(What decisions do companies face in designingmanaging, evaluating, and modifying their channels)? 3.渠道的动态发展趋势是什么 What trends are takingplace in channel dynamics)? 4.如何管理渠道的冲突( How can channel conflict bemanaged)?
Molecular dynamics for continuous potentials Short history: The first MD simulation for a system interacting with a continuous potential (Lennard-Jones potential) was carried out by A. Rahman in1964. A. Rahman, Phys. Rev. 136, A405, (1964). Main differences between MD with continuous poentials and
选择和管理营销渠道 1、营销渠道是什么(What is the nature of marketing Channels)? 2、公司在设计、管理、评价和修正其渠道时将面临什么 (What decisions do companies face in designing, managing, evaluating, and modifying their channels)? 3、渠道的动态发展趋势是什么(What trends are taking place in channel dynamics)? 4、如何管理渠道的冲突(How can channel conflict be managed)?
