Isogeometric shape optimization of nonlinear, curved 3D beams and beam structures

On the application of isogeometric finite volume method in numerical analysis of wet-steam flow through turbine cascades

“…NURBS formulation is considered as a universal class for geometry modeling in computer-aided design, manufacture and engineering (CAD/CAM/CAE). The trajectory of a robot [59], geometry of a curved structure [60][61][62][63], free surface of a fluid [64], a tool-path in multi-axis machining [65,66] and automotive body panels [67][68][69]…”

Studies on knot placement techniques for the geometry construction and the accurate simulation of isogeometric spatial curved beams

“…Using Eqs. (26) to (31), all non-zero terms of strain tensor are calculated as follows: and therefore a quadratic approximation should be at least employed. However, in order to avoid membrane locking (i.e., incapability of reflecting inextensible bending), B-spline approximations of degree three or higher will be adopted in the following (see, e.g., [49,50]).…”

“…Isogeometric static and vibration analyses of curved beam structures have been taken into consideration by many researchers in recent years. We can categorize these research works into the two main groups of planar (see, e.g., [15][16][17][18][19][20][21]) and spatial (see, e.g., [22][23][24][25][26][27]) curved beam representations where the latter is more applicable in real-world engineering problems but needs a more complex formulation. Reviewing some recent works in this area, Bauer et al [23] have proposed a continuum element formulation for static analysis of geometrically nonlinear space curved beams assuming Euler-Bernoulli theory.…”

An isogeometric numerical study of partially and fully implicit schemes for transient adjoint shape sensitivity analysis

“…These features are attractive for the development of an integrated design frame work for curved beams (e.g., in Refs. [34][35][36][37]), shells (e.g., in Refs. [38,39]) and general curved structures (e.g., in Refs.…”