Topology Optimization of Trusses with Stress and Local Constraints under Multiple Loading Conditions

2002 ◽  
Vol 2002.5 (0) ◽  
pp. 123-128
Author(s):  
Naoki KATOH ◽  
Makoto OHSAKI
Keyword(s):  
Topology Optimization ◽  
Loading Conditions ◽  
Local Constraints ◽  
Topology Optimization Of Trusses ◽  
Multiple Loading

scholarly journals TOPOLOGY OPTIMIZATION OF A CAR BODY WITH MULTIPLE LOADING CONDITIONS

1992 ◽  
Author(s):  
JUNICHI FUKUSHIMA ◽  
KATSUYUKI SUZUKI ◽  
NOBORU KIKUCHI
Keyword(s):  
Topology Optimization ◽  
Loading Conditions ◽  
Car Body ◽  
Multiple Loading

Topology Optimization of Frame of Aircraft Deicing Vehicle under Multiple Loading Conditions Based on Ansys

2013 ◽  
Vol 760-762 ◽  
pp. 2006-2009
Author(s):  
Min Yuan ◽  
Chong Chen ◽  
Ruo Bing Jiao
Keyword(s):  
Finite Element ◽  
Topology Optimization ◽  
Working Conditions ◽  
Design Space ◽  
Loading Conditions ◽  
Multiple Loading

Firstly this article briefly describes the technology of topology optimization. Then the design space of frame of aircraft deicing vehicle is established and the model of finite element is gained by meshing. Loads and DOF constraints are applied based on the analysis of working conditions. The results of topology optimization are attained by calculation. On the basis of aforementioned results, the analysis is made. Finally, this paper makes a summary and outlook.

Optimizing Topology and Gradient Orthotropic Material Properties Under Multiple Loads

2019 ◽  
Vol 19 (2) ◽  
Author(s):  
Anthony Garland ◽  
Georges Fadel
Keyword(s):  
Topology Optimization ◽  
Material Properties ◽  
Orthotropic Material ◽  
Local Coordinate System ◽  
Homogenization Theory ◽  
Gradient Material ◽  
Loading Conditions ◽  
Gradient Materials ◽  
Material Optimization ◽  
Multiple Loading

The goal of this research is to optimize an object's macroscopic topology and localized gradient material properties (GMPs) subject to multiple loading conditions simultaneously. The gradient material of each macroscopic cell is modeled as an orthotropic material where the elastic moduli in two local orthogonal directions we call x and y can change. Furthermore, the direction of the local coordinate system can be rotated to align with the loading conditions on each cell. This orthotropic material is similar to a fiber-reinforced material where the number of fibers in the local x and y-directions can change for each cell, and the directions can as well be rotated. Repeating cellular unit cells, which form a mesostructure, can also achieve these customized orthotropic material properties. Homogenization theory allows calculating the macroscopic averaged bulk properties of these cellular materials. By combining topology optimization with gradient material optimization and fiber orientation optimization, the proposed algorithm significantly decreases the objective, which is to minimize the strain energy of the object subject to multiple loading conditions. Additive manufacturing (AM) techniques enable the fabrication of these designs by selectively placing reinforcing fibers or by printing different mesostructures in each region of the design. This work shows a comparison of simple topology optimization, topology optimization with isotropic gradient materials, and topology optimization with orthotropic gradient materials. Finally, a trade-off experiment shows how different optimization parameters, which affect the range of gradient materials used in the design, have an impact on the final objective value of the design. The algorithm presented in this paper offers new insight into how to best take advantage of new AM capabilities to print objects with gradient customizable material properties.

Split beam method for determining mode shapes of cantilever beams under multiple loading conditions

2021 ◽  
pp. 107754632110276
Author(s):  
Jun-Jie Li ◽  
Shuo-Feng Chiu ◽  
Sheng D Chao
Keyword(s):  
Operation Mode ◽  
Point Contact ◽  
Mode Shapes ◽  
Cantilever Beams ◽  
Loading Conditions ◽  
Mechanical Responses ◽  
Relative Contribution ◽  
Resonance Frequencies ◽  
Beam Method ◽  
Multiple Loading

We have developed a general method, dubbed the split beam method, to solve Euler–Bernoulli equations for cantilever beams under multiple loading conditions. This kind of problem is, in general, a difficult inhomogeneous eigenvalue problem. The new idea is to split the original beam into two (or more) effective beams, each of which corresponds to one specific load and bears its own Young’s modulus. The mode shape of the original beam can be obtained by linearly superposing those of the effective beams. We apply the split beam method to simulating mechanical responses of an atomic force microscope probe in the “dynamical” operation mode, under which there are a stabilizing force at the positioner and a point-contact force at the tip. Compared with traditional analytical or numerical methods, the split beam method uses only a few number of basis functions from each effective beam, so a very fast convergence rate is observed in solving both the resonance frequencies and the mode shapes at the same time. Moreover, by examining the superposition coefficients, the split beam method provides a physical insight into the relative contribution of an individual load on the beam.

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