A new method of structural shape optimization based on biological growth

Mattheck, C.; Burkhardt, S.

doi:10.1016/0142-1123(90)90094-u

Cited by 219 publications

(79 citation statements)

References 2 publications

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“…This could be simulated only by use of interface elements which hAuP nn~ been used here. Looking at the tree growth rings ral3tcd to thc stage of integration of the bridging branch the agreement between theory and real growth is found to be satisfactory, also at that critical point [21]. • t:-- …”

Section: H-shaped Treementioning

confidence: 99%

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Engineering Components grow like trees

Mattheck

1990

Materialwissenschaft Werkst

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SummaryBiological structures consist of mechanical load carriers, which are highly optimized in terms of mechanical strength and minimum weight. It is demonstrated on some selected examples that a constant Mises-stress at the surface of the biological component can be accepted as a significant biological design rule. However, a general proof of this hypothesis seems to be impossible. It is discussed how ready-grown biological designs can be transferred to engineering applications. A new method of structural shape optimization was developed because biological 'components' do not always exist exactly in a shape ready to be copied for engineering use. The method is based on

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Section: H-shaped Treementioning

confidence: 99%

“…Only the outermost growth ring adapts by reactive growth to external loading. This mechanism of tree growth can be computer simulated by the following steps [4,19,20,21]:…”

Section: Computer Aided Shape Optimization (Cao) Based On Biological mentioning

confidence: 99%

Engineering Components grow like trees

Mattheck

1990

Materialwissenschaft Werkst

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“…In result of such an action the surface of constant constraint criterion is obtained in the optimized structure. The idea of shaping structures in the form of the surface of constant stresses was first proposed by Mattheck and Burkhardt (1990). However, the condition of constant energy density at the free surface of the optimized structure was first derived by Wasiutynski (1960).…”

Section: Constant Criterion Surface Algorithmmentioning

confidence: 99%

Uniform crashworthiness optimization of car body for high-speed trains

Mrzygłód

Kuczek

2013

Struct Multidisc Optim

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The paper deals with a new uniform crashworthiness concept of car bodies optimization of high-speed trains. The design optimization was done from the point of view of structural protection of occupants' survival space. For the reason that it is impossible to find a highly probable scenario for the derailment, the authors decided to find the solution in the form of rigid frame structure (survival cells), which will provide safety space for the passengers.In the optimization example a typical passenger car body was divided into cells of approximately equal dimensions. The optimization problem was to minimize the mass of the structure with stress constraints. The survival cell was subjected to a sequence of high value loads. The loads are acting in an asynchronous way in three load directions what gives the optimized structure uniform crashworthiness.The optimization strategy consists of three stages. In the first step, the constant criterion surface algorithm (CCSA) of topology optimization is applied to find a preliminary solutions. For improving the manufacture properties of this solution, a new concept of design space constraints was proposed. The sizing optimization with evolutionary algorithms was used to define a thin-walled structure in the second step. For evolutionary optimization a standard procedure was employed. Finally, CCSA optimization algorithm was This paper was presented in the 9th World Congress on Structural and Multidisciplinary Optimization, International Society for Structural and Multidisciplinary Optimization, Shizuoka, Japan, 2011 M. Mrzygłód · T. Kuczek ( ) Institute of Rail Vehicles, Cracow University of Technology, al. Jana Pawła II 37, Kraków, M. Mrzygłód e-mail: mrzyglod@mech.pk.edu.pl applied again to remove excessive material from a car body structure. As the optimization result a new design proposition of a car body with multiple survival cells of high uniform stiffness was obtained. By maintaining passengers' survival space, the passive safety of a high-speed car body was significantly increased.

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“…The chamfered geometry of Eucalyptus spec. is based on shape optimisation realized via tension triangles as described by Mattheck and Burkhardt [8] and Mattheck [9]. The undercut geometry of Strelizia reginae shows a folded pocket with a thickened edge in the tip of the notch.…”

Section: Optimisation Via Reverse Biomimeticsmentioning

confidence: 99%

Elastic architecture: nature inspired pliable structures

Lienhard

Poppinga

Schleicher

et al. 2010

WIT Transactions on Ecology and the Environment

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At the interfaces of our mostly stationary architecture and surrounding nature we need to make constructions adaptable to ambient changes. Adaptability as a structural response to changing climate conditions, such as the intensity and direction of sun radiation, can be realised with deployable systems. These systems are often based on the combination of stiff compression members and soft tension members connected with hinges and rollers. Deployable systems in nature are often based on flexibility. This can be observed especially in plant movements. New construction materials such as fibre-reinforced polymers (FRP) can combine high tensile strength with low bending stiffness, allowing large elastic deformations. This may enable a completely new interpretation of convertible structures which work on reversible deformation, here referred to as elastic or pliable structures. In a current research project the kinematics for such systems are derived from certain applicable plant movements. This paper will focus on the biomimetic workflow used to develop elastic kinetic structures based on such movements. The abstraction and optimisation methods will be described from an engineering point of view, focusing on the technical approaches of converting the conceptual results of a first level abstraction into higher level abstractions and finally to physical design.

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A new method of structural shape optimization based on biological growth

Cited by 219 publications

References 2 publications

Engineering Components grow like trees

Engineering Components grow like trees

Uniform crashworthiness optimization of car body for high-speed trains

Elastic architecture: nature inspired pliable structures

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