Abstract
A particle in static equilibrium position is considered, Fig. 6.1a. The static equilibrium position of the particle is determined by the forces that act on it. The virtual displacement, \(\delta \mathbf{r}\), is any arbitrary small displacement away from this natural position and consistent with the system constraints.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
P. Appell, Traité de Mécanique Rationnelle (Gauthier-Villars, Paris, 1955)
M. Atanasiu, Mechanics (EDP, Bucharest, 1973)
S. Attaway, MATLAB: A Practical Introduction to Programming and Problem Solving (Butterworth-Heinemann, Elsevier, Amsterdam, 2012)
H. Baruh, Analytical Dynamics (WCB/McGraw-Hill, Boston, 1999)
A.M. Bedford, W. Fowler, Engineering Mechanics: Statics, 5th edn. (Prentice Hall, Inc., Upper Saddle River, 2007)
A.M. Bedford, W. Fowler, K.M. Liechti, Statics and Mechanics of Materials (Prentice Hall, Inc., Upper Saddle River, 2002)
F.P. Beer, E.R. Johnston, Vector Mechanics for Engineers: Statics and Dynamics, 5th edn. (McGraw-Hill Publishing Company, New York, 1988)
F.P. Beer, E.R. Johnston, D.F. Mazurek, Vector Mechanics for Engineers: Statics, 10th edn. (McGraw-Hill Publishing Company, New York, 2012)
A.P. Boresi, R.J. Schmidt, Engineering Mechanics: Statics (PWS Publishing Company, Boston, 2000)
M.I. Buculei, Mechanics (University of Craiova Press, Craiova, 1974)
V. Ceausu, N. Enescu, F. Ceausu, Mechanics Problems (Printech, Bucuresti, 1999)
S.J. Chapman, MATLAB Programming for Engineers (Thomson Learning, Pacific Grove, CA, 2002)
D.M. Etter, D.C. Kuncicky, Introduction to MATLAB for Engineers and Scientists (Prentice Hall, Inc., Upper Saddle River, 1996)
J.H. Ginsberg, Advanced Engineering Dynamics (Cambridge University Press, Cambridge, 1995)
L.E. Goodman, W.H. Warner, Statics (Dover Publications, Inc., Mineola, 2001)
D.T. Greenwood, Principles of Dynamics (Prentice-Hall, Inc., Englewood Cliffs, 1998)
R.C. Hibbeler, Engineering Mechanics: Statics and Dynamics, 13th edn. (Prentice-Hall, Inc., Upper Saddle River, 2013)
C. Iacob, Theoretical Mechanics (EDP, Bucharest, 1980)
J.H. Jackson, H.G. Wirtz, Schaum’s Outline of Theory and Problems of Statics and Strength of Materials (McGraw-Hill Publishing Company, New York, 1983)
T.R. Kane, Analytical Elements of Mechanics, vol. 1 (Academic Press, New York, 1959)
T.R. Kane, Analytical Elements of Mechanics, vol. 2 (Academic Press, New York, 1961)
T.R. Kane, D.A. Levinson, Dynamics (McGraw-Hill, New York, 1985)
R. Maeder, Programming in Mathematica (Addison-Wesley Publishing Company, Redwood City, 1990)
D.B. Marghitu, Statics and dynamics, class notes (2004), http://www.eng.auburn.edu/users/marghitu/
D.B. Marghitu, Mechanical Engineer’s Handbook (Academic Press, San Diego, 2001)
D.B. Marghitu, Kinematic Chains and Machine Component Design (Elsevier, Amsterdam, 2005)
D.B. Marghitu, Mechanisms and Robots Analysis with MATLAB (Springer, New York, 2009)
D.B. Marghitu, M. Dupac, Advanced Dynamics: Analytical and Numerical Calculations with MATLAB (Springer, New York, 2012)
D.J. McGill, W.W. King, Engineering Mechanics: Statics and an Introduction to Dynamics (PWS Publishing Company, Boston, 1995)
J.L. Meriam, L.G. Kraige, Engineering Mechanics: Statics, 7th edn. (John Wiley & Sons, New York, 2011)
L.A. Pars, A Treatise on Analytical Dynamics (John Wiley & Sons, New York, 1965)
M. Plesha, G. Gray, F. Costanzo, Engineering Mechanics: Statics, 2nd edn. (McGraw-Hill Publishing Company, New York, 2012)
M. Radoi, E. Deciu, Mechanics (EDP, Bucharest, 1981)
W.F. Riley, L.D. Sturges, Engineering Mechanics: Statics, 2nd edn. (John Wiley & Sons, Inc., New York, 1995)
A. Ripianu, P. Popescu, B. Balan, Technical Mechanics (EDP, Bucharest, 1979)
A. Ruina, R. Pratap, Introduction to Statics and Dynamics (Oxford University Press, New York, 2002)
I.H. Shames, Engineering Mechanics Statics, 4th edn. (Prentice Hall, Inc., Englewood Cliffs, 1996)
S.D. Sheppard, B.H. Tongue, Statics: Analysis and Design of Systems in Equilibrium (John Wiley & Sons, New York, 2005)
D. Smith, Engineering Computation with MATLAB (Pearson Education, Upper Saddle River, 2008)
R.W. Soutas-Little, D.J. Inman, Engineering Mechanics: Statics and Dynamics (Prentice-Hall, Upper Saddle River, 1999)
R.W. Soutas-Little, D.J. Inman, D. Balint, Engineering Mechanics: Statics (Cengage Learning, Boston, 2007)
S. Staicu, Theoretical Mechanics (EDP, Bucharest, 1998)
A. Stan, M. Grumazescu, Mechanics Problems (EDP, Bucharest, 1973)
Statics eBook, https://ecourses.ou.edu/
J. Sticklen, M.T. Eskil, An Introduction to Technical Problem Solving with MATLAB (Great Lakes Press, Wildwood, 2006)
A. Stoenescu, G. Silas, Theoretical Mechanics (ET, Bucharest, 1957)
I. Stroe et al., Analytical Mechanics Problems (University Politehnica of Bucharest, Bucharest, 1997)
The MathWorks, https://www.mathworks.com/
V. Valcovici, S. Balan, R. Voinea, Theoretical Mechanics (ET, Bucharest, 1959)
R. Voinea, D. Voiculescu, V. Ceausu, Mechanics (EDP, Bucharest, 1983)
K.J. Waldron, G.L. Kinzel, Kinematics, Dynamics, and Design of Machinery (John Wiley & Sons, New York, 1999)
J.H. Williams Jr, Fundamentals of Applied Dynamics (John Wiley & Sons, New York, 1996)
H.B. Wilson, L.H. Turcotte, D. Halpern, Advanced Mathematics and Mechanics Applications Using MATLAB (Chapman & Hall/CRC, Boca Raton, 2003)
S. Wolfram, Mathematica (Wolfram Media/Cambridge University Press, Cambridge, 1999)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2013 Springer London
About this chapter
Cite this chapter
Marghitu, D.B., Dupac, M., Madsen, N. (2013). Virtual Work and Stability. In: Statics with MATLAB®. Springer, London. https://doi.org/10.1007/978-1-4471-5110-4_6
Download citation
DOI: https://doi.org/10.1007/978-1-4471-5110-4_6
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-4471-5109-8
Online ISBN: 978-1-4471-5110-4
eBook Packages: EngineeringEngineering (R0)