The invention provides an
isogeometric analysis-oriented high-efficiency fatigue
topological optimization method, which belongs to the technical field of
geometric analysis and mainly comprises the following steps of: constructing a
fatigue problem model, dividing the number of
layers of a multi-layer grid method and the size of a
design domain according to the requirements of the
design domain, and generating an isogeometric node vector of the lowest layer by using h
insertion; according to the isogeometric node vector, assembling each level of interpolation operator and
continuation operator of the multi-grid method; decomposing and storing independent load components in the
load spectrum, and solving a combined weight of each independent load component; an overall stress spectrum is obtained according to weight
assembly; evaluating the fatigue constraint of the
fatigue damage of the unit; approximately expressing the fatigue constraint
topological optimization problem according to an augmented Lagrangian method; and performing updating iteration of the
isogeometric analysis design variable until the convergence of the fatigue constraint
topological optimization problem is judged according to the design variable variation. According to the scheme, the simplified calculation and counting problems of the multi-cycle general fatigue
load spectrum are improved, and the solving cost is reduced.