Conference Session

Teaching Dynamics

Collection

2009 Annual Conference & Exposition

Authors

Ali Mohammadzadeh, Grand Valley State University; Salim Haidar, Grand Valley State University

Tagged Divisions

Mechanics

automobile as: 1 1 T = m x& 2 + J θ& 2 . (1) 2 2The potential energy is described in Equation 2 as: 1 1 k 1 ( y + x − l1θ ) + k 2 ( x + l 2θ ) . 2 2 U = (2) 2 2Rayleigh’s dissipation function describing viscous dissipation in the dampers is: 1 1 Q= 2 ( c1 y& + x& − l1θ& ) 2

Conference Session

Teaching Dynamics

Collection

2009 Annual Conference & Exposition

Authors

Raymond Jacquot, University of Wyoming; Jeffrey Anderson, University of Wyoming; David Walrath, University of Wyoming

Tagged Divisions

Mechanics

i( x ) = i4 i ( x ) i = 1,2,... (11) dx 4If (9) and (10) are substituted into (1) using relation (11) the result is a set of uncoupled ordinarydifferential equations in the normal coordinates or EI i4 qi + cq + qi = A0 f i g( t ) 1 = 1,2,... (12)Division through by and noting the definitions of (4), (6) and (7) the result is a set of ordinarydifferential equations in the modal coordinates or A0 f i qi + 2 i i q i + i2 qi = g( t ) i = 1,2,... (13)For the forcing functions considered, this equation can be easily solved

Conference Session

Teaching Mechanics of Materials and General Mechanics Education

Collection

2009 Annual Conference & Exposition

Authors

Habib Sadid, Idaho State University; Richard Wabrek, Idaho State University

Tagged Divisions

Mechanics

. Gere , Barry J. 7(12) Goodno 7. Mechanics of Materials (2000) Anthony Bedford, 5(12) Kenneth M. Liechti 8. Introduction to Mechanics of Materials (1989) William F. Riley, 7(11) Loren W. Zachary 9. Mechanics of Solids (1995) Gerald Wempner 2(9) 10. Mechanics of Materials (Fourth Revised Edition) James M. Gere, 6(10) Stephen P. Timoshenko 11. Mechanics of Materials (Sixth Edition) William F. Riley, Leroy D. 2(10) Sturges, Don H. Morris 12. Mechanics of Materials (Second Revised Edition) Roy R. Craig, Jr. 8(12) 13. Mechanics of Materials (1985) David Q. Fletcher 2(14) 14. Mechanics of