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Finite element method in deformation variant is used for
deformation and statical analysis of bearing structures. Program is draft designed
for solution of 3D structures and uses a object properties of C++. Core of the
program is designed generally and abstract, there is possibility extend program
functionality very fast by implementation of stiffness matrixes and load vectors
for new elements.
Left rotated coordinate system is used:
Some basic properties:
- System of linear algebraic equations is solved by Gauss eliminate method
with possibility of equations results iteration specification. Set of n
right sides is parallel solved for linear tasks (n load cases); on
the other hand each load case is solved separately for nonlinear tasks
(e.g. single-sided support by winkler foot).
- Structure can be in node suppored rigid or elastic, in global axis
direction X, Y, Z or rotated (local) axis x, y, z (skew force and moment
support).
- User can define arbitrary node (cross-section) at element where the
results will be evaluated.
- Implemented elements:
- 2D bar frame element with three deformation parameters in node
{uX, wZ,
φY}is solved in XZ plane.
Evaluated force parameters in element x-cross-section {N(Fx),
V(Fz), M(My)}
are acquired by transfer matrix method. Shear influence is considered in
element. Load vectors are derived for singular force and moment effects,
distributed trapezium load and linear temperature change over the element
height.
- plate triangular and quadrilateral element with three
parameters in node {wZ, φX,
φY} is solved in XY plane.
Evaluated force parameters in (X,Y)-node are {VXZ,
VYZ, MXX,
MYY, MXY
(=> M1, M2,
α)}. Force parameters are averaged in mesh nodes. Deformation and force parametres
can be
evaluated in arbitrary element place. Shear influence is considered in
element. Load vectors are derived for constant distributed whole element
area load, singular force and moment effects, distributed linear
trapezium load and linear temperature change over the element height.
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