Conference Session

Innovations in Solid Mechanics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Peter Wolfsteiner, Munich University of Applied Sciences

Tagged Divisions

Mechanics

elementsimproves the quality of approximation to the real behavior. However in this simple formthe model is sufficient to demonstrate a couple of typical tasks relevant to the operationwith Multibody problems. The following sections explain the derivation of the equations ofmotion. Because of its compact theoretical formulation section 2.1 starts with the Lagrangeequation of second kind, section 2.2 demonstrates the more relevant procedure with theNewton-Euler equations.2.1 Lagrange equation of second kindFor the derivation of equations of motion this section uses the Lagrange equation of secondkind with the vector of minimal coordinates q = (ϕ1 , ϕ2 , ϕ3 )T , the kinetic energy T , thepotential energy V and the vector of generalized forces u

Conference Session

Statics and Strength of Materials

Collection

2012 ASEE Annual Conference & Exposition

Authors

Ing-Chang Jong, University of Arkansas

Tagged Divisions

Mechanics

upward linear displacement [e.g., ya and yb in Fig. 1(b)].■ Methodology and pedagogy of the method of model formulasThe four model formulas in Eqs. (1) through (4) were derived in great detail in the paper thatpropounded the MoMF.12 For convenience of readers, let us take a brief overview of how thesemodel formulas are obtained. Basically, it starts out with the loading function q,9 written in termsof singularity functions for the beam ab in Fig. 1; as follows: q = Va < x >− 1 + M a < x >− 2 − P < x − x P >− 1 + K < x − x K >− 2 − w0 < x − x w >0 w − w0 w − w0 − 1 < x − x w >1 + w1< x − u w > 0 + 1 < x − u w >1