Topology optimization with optimality criteria and transmissible loads

Chiandussi, Giorgio; Codegone, Marco; Ferrero, Sergio W.

doi:10.1016/j.camwa.2008.09.047

Cited by 17 publications

(3 citation statements)

References 22 publications

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“…Marco Cavazzuti and Luca Splendid [3] show structural optimization of automotive chassis: theory, set up, design. G. Chiandussi [4] has done Topology optimization with optimality criteria and transmissible loads.…”

Section: Fig 1 Cad Model Of Unic II Se Machinementioning

confidence: 99%

Optimization of Upper Punch, Lower Punch, Plate of Tablet Press Machine

2014

IJAERD

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-The preferred drug delivery system today is represented by tablets, which are manufactured using tablet press machine in which powder is filled in a die and that powder is compressed in a die by upper and lower punch. The objective of the project is to relook into the design of the machine and to reduce the weight of machine component like Upper Plate, lower roll housing, upper roll carrier. 3D CAD model of rotary tablet press is prepared in Solid Edge. Deflection and stresses at various critical points are determined using FEA tools. Redesign and optimization of the same components of machine is carried out Considering the Tablet Specification Manual standards at the same time keeping comparable machine structure accuracy and productivity.

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Section: Fig 1 Cad Model Of Unic II Se Machinementioning

confidence: 99%

Optimization of Upper Punch, Lower Punch, Plate of Tablet Press Machine

2014

IJAERD

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“…A number of finite element-based topology optimization studies used this idea to motivate the introduction of constraints of zero virtual displacement along the lines of action of transmissible loads (e.g. Fuchs and Moses 2000;Yang et al 2005;Chiandussi et al 2009;Zhu et al 2017).…”

Section: Introductionmentioning

confidence: 99%

On transmissible load formulations in topology optimization

Tyas

Gilbert

et al. 2021

Struct Multidisc Optim

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Transmissible loads are external loads defined by their line of action, with actual points of load application chosen as part of the topology optimization process. Although for problems where the optimal structure is a funicular, transmissible loads can be viewed as surface loads, in other cases such loads are free to be applied to internal parts of the structure. There are two main transmissible load formulations described in the literature: a rigid bar (constrained displacement) formulation or, less commonly, a migrating load (equilibrium) formulation. Here, we employ a simple Mohr’s circle analysis to show that the rigid bar formulation will only produce correct structural forms in certain specific circumstances. Numerical examples are used to demonstrate (and explain) the incorrect topologies produced when the rigid bar formulation is applied in other situations. A new analytical solution is also presented for a uniformly loaded cantilever structure. Finally, we invoke duality principles to elucidate the source of the discrepancy between the two formulations, considering both discrete truss and continuum topology optimization formulations.

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“…This work will address this issue whilst relaxing the problem even further by employing the concept of transmissible loads introduced in [40] (cf. also [23]): the load f given with respect to Ω can be arbitrarily distributed along vertical lines, continuously or discretely. The hope is that, despite this extra freedom, at each point x ∈ Ω there is one optimal load position z = z(x) and that the Prager structure is essentially a vault for it concentrates on a single surface S z .…”

Section: Introductionmentioning

confidence: 99%

Optimal vault problem -- form finding through 2D convex program

Bołbotowski¹

2021

Preprint

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This work puts forward a form finding problem of designing a least-volume vault that is a surface structure spanning over a plane region, which via pure compression transfers a vertically tracking load to the supporting boundary. Through a duality scheme, developed recently for the design of pre-stressed membranes, the optimal vault problem is reduced to a pair of mutually dual convex problems (P), (P * ) formulated on the 2D reference region. The vault constructed upon solutions of those problems is proved to be both of minimum volume and minimum compliance; analytical examples of optimal vaults are given. Through a measure-theoretic approach, thus found optimal vaults are proved to solve the Prager problem of designing a 3D structure that by compression carries a transmissible load. The ground structure method applied to the convex problems furnishes a pair of discrete, conic quadratic programs (P X ), (P * X ) leading to optimal design of grid-shells. By adopting the member-adding adaptive technique this pair is efficiently tackled numerically, which is demonstrated on a number of examples where highly precise grid-shell approximations of optimal vaults are found.

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Topology optimization with optimality criteria and transmissible loads

Cited by 17 publications

References 22 publications

Optimization of Upper Punch, Lower Punch, Plate of Tablet Press Machine

Optimization of Upper Punch, Lower Punch, Plate of Tablet Press Machine

On transmissible load formulations in topology optimization

Optimal vault problem -- form finding through 2D convex program

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