The equilibrium problem of nonstationary systems is studied. The starting point is the principle of virtual work (PVW). Contrary to stationary problems, some additional conditions (along with PVW) should be satisfied. Proof of Gantmacher’s postulate is derived. A new approach is given, and some results of other authors are discussed.

Issue Section:
Technical Papers
Topics:
Equilibrium (Physics), Virtual work principle
1.
Gantmacher, F., 1970, Lectures in Analytical Mechanics, Mir, Moscow, p. 22 (originally in Russian, 1966).
2.
Kiltchevski, N. A., 1977, A Course in Theoretical Mechanics, t.2., Moscow, pp. 107–111 (in Russian).
3.
Papastavridis
J.
,
1989
, “
On the Sufficentcy of the Principle of Virtual Work for Mechanical Equilibrium: A Critical Reexamination
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
56
, pp.
704
–
707
.
4.
Vujicˇic´, V., 1988, “On the Principle of Possible Displacements for Rheonomic Systems,” Prikladnaja Mehanika, t. 24. No. 2, Kiev, pp. 125–127.
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