16.61 Aerospace Dynamics Spring 2003 What about real systems? Complexity increased by Vectoral equations-difficult to manage Constraints- what holds the system together? No general procedures Lagrange provides: Avoiding some constraints Equations presented in a standard form Termed analytic Mechanics Originated by leibnitz(1646-1716) Motion(or equilibrium)is determined by scalar equations Big picture Use kinetic and potential energy to solve for the motion No need to solve for accelerations(Ke is a velocity term) Do need to solve for inertial velocities Lets start with the answer, and then explain how we get there Massachusetts Institute of Technology C How, Deyst 2003( Based on notes by Blair 200216.61 Aerospace Dynamics Spring 2003 Massachusetts Institute of Technology © How, Deyst 2003 (Based on notes by Blair 2002) 3 What about “real” systems? Complexity increased by: • Vectoral equations – difficult to manage • Constraints – what holds the system together? • No general procedures Lagrange provides: • Avoiding some constraints • Equations presented in a standard form
Termed Analytic Mechanics • Originated by Leibnitz (1646-1716) • Motion (or equilibrium) is determined by scalar equations Big Picture • Use kinetic and potential energy to solve for the motion • No need to solve for accelerations (KE is a velocity term) • Do need to solve for inertial velocities Let’s start with the answer, and then explain how we get there