This paper proposes a level set method to solve minimum stress and stress-constrained shape topology optimization problems. The solves sub-optimization problem every iteration obtain optimal boundary velocities. A p-norm functional is used aggregate stresses in single constraint. sensitivity function derived computational procedure based on least squares interpolation approach devised order compute sensitivities at the boundaries. Adaptive constraint scaling enforce exact control of limits....

Abstract We present a new method for shape optimization that uses an analytical description of the varying design geometry as control in problem. A straightforward filtering technique projects onto fictitious analysis domain to support simplified response and sensitivity analysis. However, model is referenced directly all purely geometric calculations. The thus combines advantages direct representations with procedures are possible methods, such material distribution methods commonly used...

We present a new method for the simultaneous topology optimization and material selection of structures made by union discrete geometric components, where each component is one multiple available materials. Our approach based on geometry projection method, whereby an analytical description components smoothly mapped onto density field fixed analysis grid. In addition to parameters that dictate dimensions, position, orientation component, size variable per ascribed component. A value unity...

A major limitation in extrusion-based bioprinting is the lack of direct process control, which limits accuracy and design complexity printed constructs. The control results a number defects that can influence functional mechanical outcomes fabricated structures. machine axes motion cannot be reliably used to predict material placement, precise fabrication requires additional sensing extrusion. We present an iteration-to-iteration monitoring system enables deposition reference frame. To...

Abstract This work introduces a MATLAB code to perform the topology optimization of structures made bars using geometry projection method. The primary objective this is make available structural community simple implementation method that illustrates formulation and makes it possible easily efficiently reproduce results. A guiding principle in writing modularity, so researchers can modify program for their own purposes. Another goal efficiency, which extensive use vectorization made. paper...

Summary Single‐curvature plates are commonly encountered in mechanical and civil structures. In this paper, we introduce a topology optimization method for the stiffness‐based design of structures made curved with fixed thickness. The geometry each plate is analytically explicitly represented by its location, orientation, dimension, curvature radius, therefore, our renders designs that distinctly plates. To perform primal sensitivity analyses, use projection method, which smoothly maps...

The stiffness of plate structures can be significantly improved by adding reinforcing ribs. In this paper, we are concerned with the stiffening panels using ribs made constant-thickness plates. These common in, for example, reinforcement ship hulls, aircraft wings, pressure vessels, and storage tanks. Here, present a method optimally designing locations dimensions rectangular to reinforce panel. work presented here is an extension our previous design solely discrete elements. most important...

This work presents a method for the continuum-based topology optimization of structures whereby structure is represented by union supershapes. Supershapes are an extension superellipses that can exhibit variable symmetry as well asymmetry and describe through single equation, so-called superformula, wide variety shapes, including geometric primitives. As demonstrated author his collaborators others in previous work, availability feature-based description geometry opens possibility to impose...