The numerical method of dynamic response analysis for greenhouse structure.
Input: Time Step , Total time steps T; Total number of discrete segments n, Discrete length Ll, ; Total number of investigated lump R, Mass of investigated lump , Moment of inertia of investigated lump ,; Load point Rf, ; fluctuating wind speed ,; Constraint point Rc.
Output: The displacement of investigated lumps and , rotation angle , maximum stress , shear forces at ends of discrete segment and , bending moments at ends of discrete segment and .
Initialization:,,,;,,,.
(1)
do
(2)
do
(3)
Calculate external load .
(4)
end do
(5)
end do
(6)
do
(7)
do
(8)
External force in the x direction at loading point in equation (6), external force in the y direction in equation (7), Moment in equation (8).
(9)
end do
(10)
Define constraints: ,,,.
(11)
do
(12)
Calculate , and , at both ends of segment l by equation (13). Calculate by equation (11), Calculate by equation (9), Calculate by equation (10), Calculate by equation (12); Calculate and by equation (11),
(13)
end do
(14)
do
(15)
Calculate , and , at both ends of segment l by equation (14), Calculate the force and moment of the investigated lump in equation (6) in equation (7), in equation (8)
(16)
end do
(17)
do
(18)
Calculate acceleration of the investigated lump in equation (6), in equation (7) and angular acceleration in equation (8).
(19)
ifthen
(20)
superimposing Step 8, Calculate acceleration of the investigated lump in equation (6), in equation (7), angular acceleration in equation (8).
