Topology optimization design of crushed 2D-frames for desired energy absorption history

Pedersen, Claus

doi:10.1007/s00158-003-0282-y

Cited by 80 publications

(27 citation statements)

References 43 publications

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“…In Equation (11), K j is the stiffness matrix of a beam element, and Q K k is the stiffness matrix of a joint that is calculated by interpolating the stiffness matrices of stacked joint elements in Equation (8). Obviously, N J denotes the number of joints.…”

Section: Topology Optimization Formulationmentioning

confidence: 99%

“…TOPOLOGY OPTIMIZATION OF THIN-WALLED BOX BEAM STRUCTURES 577 Takezawa et al [4] considered cross-sectional properties of frame elements as a part of variables in topology optimization. Missoum et al [5,6] and Gu et al [7] dealt with nonlinear truss optimization, and Pedersen [8,9] used a ground beam model for crashworthiness design of beam structures. Meanwhile, some researches were concerned with the influence of joint rigidity on optimal layouts.…”

Section: Introductionmentioning

confidence: 99%

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Topology optimization of thin‐walled box beam structures based on the higher‐order beam theory

Kim

Choi

et al. 2015

Numerical Meth Engineering

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The investigation aims to formulate ground-structure based topology optimization approach by using a higher-order beam theory suitable for thin-walled box beam structures. While earlier studies use the Timoshenko or Euler beams to form a ground-structure, they are not suitable for a structure consisting of thin-walled closed beams. The higher-order beam theory takes into an additional account sectional deformations of a thin-walled box beam such as warping and distortion. Therefore, a method to connect ground beams at a joint and a technique to represent different joint connectivity states should be investigated for streamlined topology optimization. Several numerical case studies involving different loading and boundary conditions are considered to show the effectiveness of employing a higher-order beam theory for the groundstructure based topology optimization of thin-walled box beam structures. Through the numerical results, this work shows significant difference between optimized beam layouts based on the Timoshenko beam theory and those based on a more accurate higher-order beam theory for a structure consisting of thin-walled box beams.

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Section: Topology Optimization Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Topology optimization of thin‐walled box beam structures based on the higher‐order beam theory

Kim

Choi

et al. 2015

Numerical Meth Engineering

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“…3 In contrast, the optimization problem here is to design structures that gradually stiffen to match a desired stiffness profile. The approach of using contact conditions to enable graded stiffness between evolving surfaces makes the problem more complex.…”

Section: Contact Occurs At Higher Loadmentioning

confidence: 99%

Topology Design of Compliant Cellular Structures with Contact-Enabled, Graded Stiffness

Gupta¹,

Seepersad²

2008

49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference &Amp;lt;br> 16th AIAA/ASME/AHS Ada

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A topology design method is presented for customizing cellular or lightweight structures with contact-enabled, graded stiffness. Structures with graded structural stiffness exhibit increasing stiffness with the magnitude of applied structural loads. In this work, stiffening is achieved via internal contact within the cellular structure. A continuum-based topology optimization approach is presented for tailoring cellular topologies with customized stiffness profiles that can be achieved only with internal contact. As part of the approach, contact behavior is modeled with an exponential function that gradually stiffens individual elements as contact begins to occur. Nonlinear finite element analysis is performed with a Newton Raphson procedure. The design problem is formulated to achieve targeted stiffness profiles at specified locations in the cellular structure. The resulting approach is capable of designing cellular topology with freeform, internal contact surfaces that emerge as the topology evolves.

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“…Another of the applications of topology optimization methods includes their use to design energy absorbing structures (Yuge and Kikuchi 1995, Pedersen 2003, Jung and Gea 2006, Neves et al 1995, Maute et al 1998, Forsberg and Nilsson 2007, Kato et al 2015, Zhang et al 2016and Wallin et al 2016). These methods have been used for structures that utilised the technology's increased design freedom (Brackett et al 2011).…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric structural optimization design and void control for selective laser melting

Stojanov

Falzon

et al. 2017

Struct Multidisc Optim

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Topology optimization design of crushed 2D-frames for desired energy absorption history

Cited by 80 publications

References 43 publications

Topology optimization of thin‐walled box beam structures based on the higher‐order beam theory

Topology optimization of thin‐walled box beam structures based on the higher‐order beam theory

Topology Design of Compliant Cellular Structures with Contact-Enabled, Graded Stiffness

Axisymmetric structural optimization design and void control for selective laser melting

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