Information Technology Reference
In-Depth Information
TABLE 11.1
Functions
p
i
0
at Beam Boundaries for applied Distributed Transverse Loading
11.3
Variationally Based Stability Analysis (Theory of Second Order)
11.3.1
Principle of Virtual Work
2
δ
1
2
˚
The energy criterion for stability of Section 11.1.1 was given by
δ(
)
=
0
,
which is
equivalent to
0 and states that the first variation of the incremental change in
energy is zero. It is convenient to develop the theory in terms of the virtual work
W
rather
than the potential energy change
δ()
=
. Thus, the stability criterion will be
−
δ(
W
)
=
0
(11.54)
where
δ(
W
)
is the virtual work corresponding to the incremental change.
Search WWH ::
Custom Search