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Layout design of thin-walled structures with lattices and stiffeners using multi-material topology optimization

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Chinese Journal of Aeronautics 2023年第4期36卷 496-509页

作者： Yang LI Tong GAO Qianying ZHOU Ping CHEN Dezheng YIN Weihong ZHANG State IJR Center of Aerospace Design and Additive Manufacturing Northwestern Polytechnical UniversityXi’an 710072China Institute of Intelligence Material and Structure Unmanned System TechnologiesNorthwestern Polytechnical UniversityXi’an 710072China Beijing Aerospace Technology Institute Beijing 100074China Beijing Institute of Long March Space Vehicle Beijing 100076China

In this paper,the thin-walled structures with lattices and stiffeners manufactured by additive manufacturing are investigated.A design method based on the multi-material topology optimization is proposed for the simultaneous layout optimization of the lattices and stiffeners in thin-walled structures.First,the representative lattice units of the selected lattices are equivalent to the virtual homogeneous materials whose effective elastic matrixes are achieved by the energy-based homogenization method.Meanwhile,the stiffeners are modelled using the solid material.Subsequently,the multi-material topology optimization formulation is established for both the virtual homogeneous materials and solid material to minimize the structural compliance under mass constraint.Thus,the optimal layout of both the lattices and stiffeners could be simultaneously attained by the optimization procedure.Two applications,the aircraft panel structure and the equipment mounting plate,are dealt with to demonstrate the detailed design procedure and reveal the effect of the proposed method.According to numerical comparisons and experimental results,the thin-walled structures with lattices and stiffeners have significant advantages over the traditional stiffened thin-walled structures and lattice sandwich structures in terms of static,dynamic and anti-instability performance.

关键词： Layout design Thin walled structures Topology optimization Lattice stiffener

Rapid Modeling and Finite Element Analysis of Missile stiffener

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Computer Aided Drafting,Design and Manufacturing 2015年第3期25卷 31-38页

作者： WANG Tian XI Ping LI Ji-xing School of Mechanical Engineering and Automation Beihang University

stiffener is the important missile structure to ensure the structural strength of the missile. In order to improve the design efficiency and the quality of the missile stiffener, the methods of missile stiffener rapid modeling and analysis are proposed. First, the problems of traditional manual modeling of the stiffener are analyzed. According to the problems and actual requirement of modeling, volume decomposition method is used to divide the stiffener into the upper section, the lower section and the web in order for feature analysis and parameter extraction. Then based on the parameters the basic unit decomposed above is created for Boolean operation to establish the stiffener. Finally, a rapid stiffener modeling and analysis program were developed based on UG Open API, the modeling and analysis result validates the feasibility of the method.

关键词： rapid modeling stiffener finite element analysis UG open API

Structural and acoustic response of a finite stiffened conical shell

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Acta Mechanica Solida Sinica 2015年第2期28卷 200-209页

作者： Xianzhong Wang Weiguo Wu Xiongliang Yao Key Laboratory of High Performance Ship Technology of Ministry of Education Wuhan University of Technology Departments of Naval Architecture Ocean and Structural Engineering School of Transportation Wuhan University of Technology College of Shipbuilding Engineering Harbin Engineering University

In this paper, a precise transfer matrix method is presented to calculate the struc- tural and acoustic responses of the conical shell. The governing equations of conical shells are written as a coupled set of first order differential equations. The field transfer matrix of the shell and non-homogenous term resulting from the external excitation are obtained by precise integra- tion method. After assembling the field transfer matrixes, the whole matrix describing dynamic behavior of the stiffened conical shell is obtained. Then the structural and acoustic responses of the shell are solved by obtaining unknown sound pressure coefficients. The natural frequencies of the shell are compared with the FEM results to test the validity. Furthermore, the effects of the semi-vertex angle, driving force directions and boundary conditions on the structural and acoustic responses are studied.

关键词： conical shell precise transfer matrix method sound radiation stiffener

Experimental Study on Mechanical Behavior of Box-Brace to Box-Column Foot Joints

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Journal of Shanghai Jiaotong university(Science) 2012年第4期17卷 385-390页

作者：王兆强赵金城龚景海 School of Naval Architecture Ocean and Civil EngineeringShanghai Jiaotong University

This paper presents results of three tests carried out to study the mechanical behavior of foot joints used in the tower boiler steel frame. Each foot joint consists of a box column and a box brace. These three specimens have different connection types or different details of stiffeners. The tests are carried out by using the large multi-function structural experiment system WAW-1000J. The load-displacement curves and the strain distribution are measured during the tests. The mechanical behavior of foot joints under adverse load cases is analyzed. The safety of these three specimens under design load is assessed. The strength and deformation of different joints are compared. The results indicate that connection types or details of inner stiffeners have effects on strength and failure mode and that the specimen with end-plate connection can optimize the strain distribution along the height of brace web and can change the force transfer mechanism between column and brace. In addition, a finite element model of the specimen is conducted and numerical results generally agree well with the test results. The work in this paper provides a base for further analysis on the performance of joint used in the tower boiler steel frames.

关键词： foot joint tower boiler strength connection stiffener

Experimental Research on Structural Behaviors of Glulam I-Beam with a Special-Shaped Section

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Journal of Renewable Materials 2020年第2期8卷 113-132页

作者： Ruyuan Yang Chaokun Hong Xiaofeng Zhang Quan Yuan Youfu Sun College of Materials Science and Engineering Nanjing Forestry UniversityNanjingChina College of Civil Engineering Nanjing Forestry UniversityNanjingChina College of Media and Art Nanjing University of Information Science&TechnologyNanjingChina

In order to enhance the bearing capacity of structural components,save materials,and reduce cost,a glued laminated timber(glulam)I-beam that is theoretically suitable for engineering application was proposed.In this study,18 glulam specimens were fabricated using larch dimension lumber and resorcinol-formaldehyde resin.Four-point bending tests were carried out to compare the ultimate bearing capacity,strain,and deflection of various specimens.The results showed that:(1)The typical failure mode at bending is the web shear failure parallel to grain.Before the failure,cracks and sounds appear at the beam web,which represent the sudden brittle failure.(2)The cross-sectional strain of glulam beam changed linearly with the beam height,indicating that the plane section assumption was basically established.(3)stiffener could improve the initial flexural stiffness of glulam beam,which experiences an increase of 28.21%.Larger the shear span ratio,smaller the initial flexural stiffness.The initial flexural stiffness improves by 10-23.5%with the increase in the thickness of the lower flange.(4)The effects of stiffener and shear-span ratio on shear strength are relatively significant.After the stiffeners are set at the support and the loading point in pairs,the shear strength of the glulam beam increases by 15.05%averagely.With the increase in the shear-span ratio,the shearing strength of the glulam I-beam gradually reduces.The equation of the shearing strength with the shear span ratio is obtained,which is shown by high fitting precision.(5)The shear strength correlation,as proposed by Soltis and Rammer,is suitable not only for rectangular beams,but also for glulam I-beams.

关键词： Glulam I-beam stiffener shear span ratio flange thickness

Optimization Design of Transmission Housing stiffener Based on FEM

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Optimization Design of Transmission Housing Stiffener Based ...

Numerical Study on the Serviceability Performance of Unstiffened and Stiffened Steel Plates

2020中国汽车工程学会年会暨展览会

作者： Kang Yipo Cao Zhenglin Liu Yanling Li Junlou Zhang Youlong Yan Bo State Key Laboratory of Comprehensive Technology on Automobile Vibration and Noise & Safety Control General Research and Development Institute of China FAW Co. Ltd

Reasonable arrangement of stiffeners is of great significance for improving the strength and stiffness of the transmission housing.Taking the transmission housing of passenger car as the research object,the strength and stiffness of the transmission housing were predicted by finite element method（FEM）,and the rationality of stiffener arrangement was evaluated.Then the mechanical analysis of unreasonable stiffener was carried out,and specific optimization measures were put forward from the position,direction,quantity and size of stiffener,so as to improve the mechanical properties of the transmission housing.Finally,the finite element analysis and experimental verification of the optimization scheme were carried out.The results show that compared with the original scheme of the transmission housing,the strength of the optimization scheme is increased by more than 26%,the stiffness is equivalent,and the structure does not have the risk of cracking and resonance.The optimization scheme had passed the bench strength test,which verified that the proposed stiffener optimization measures are effective,and the stiffener optimization measures have certain engineering reference value.

关键词： transmission housing stiffener FEM strength stiffness

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Journal of Civil Engineering and Architecture 2019年第9期13卷 553-561页

作者： Farhad Riahi Tadeh Zirakian Bijan Sanaati Samrand Mohammad Karimi Dept.of Civil Engineering Islamic Azad UniversityMahabad BranchMahabad 591393-3137Iran Dept.of Civil Engineering and Construction Management California State UniversityNorthridgeCA 91330USA Dept.of Civil Engineering Islamic Azad UniversityBoukan BranchBoukan 7356716-33986Iran

In this paper,the effects of transverse stiffeners for improving the buckling and post-buckling behaviors of thin steel plates under compressive loading have been investigated through consideration of two parameters,i.***.stiffeners number and height.Moreover,the deformations associated with the buckling stability of unstiffened and stiffened plates have been evaluated through detailed comparison.Numerous numerical models have been developed using ABAQUS and the buckling behavior has been studied through performing nonlinear static analyses.Plate’s largest deformation has been considered for comparison purposes which may not be necessarily located in the center of the plate surface.The use of stiffeners by and large increases the load-bearing capacity of the plates;however,it is shown that lack of proper detailing of stiffened plates may unfavorably result in the reduction of the load-bearing capacity and,in general,adversely affect the stability performance of such commonly-used slender members.

关键词： Plate stiffener buckling post-buckling numerical simulation