A substation is a complex coupled system composed of various electrical equipment.Compared with standalone equipment,there is a significant coupling effect in the seismic response of interconnected equipment.To addres...A substation is a complex coupled system composed of various electrical equipment.Compared with standalone equipment,there is a significant coupling effect in the seismic response of interconnected equipment.To address this issue,this study investigates the seismic interaction of substation equipment with multiple electrical configurations and proposes an improved seismic design method.First,the concept of the coupling coefficient is introduced,which is used to improve the Newmark-βmethod and response spectrum method for the seismic design of standalone equipment.Then,the finite element models of a substation system with multiple configurations are established,and the vibration characteristics and seismic responses of the interconnected equipment are investigated.Finally,the coupling coefficients are obtained by kernel density estimation of the response results under twenty seismic ground motions,and the effectiveness of the proposed method is verified through two numerical examples.The results show that the frequency coupling coefficients vary from 0.69 to 1.42,while the seismic action coupling coefficient has a wider range,changing from 1.04 to 3.91.The coupling effect amplifies the seismic response of higher-frequency equipment,and the amplification degree varies among different configurations for the same type of equipment.展开更多
Hybrid lattice structures consisting of multiple microstructures have drawn much attention due to their excellent performance and extraordinary designability.This work puts forward a novel design scheme of lightweight...Hybrid lattice structures consisting of multiple microstructures have drawn much attention due to their excellent performance and extraordinary designability.This work puts forward a novel design scheme of lightweight hybrid lattice structures based on independent continuous mapping(ICM)method.First,the effective elastic properties of various microstructure configurations serve as a bridge between the macrostructure and the multiple microstructures by the homogenization theory.Second,a concurrent topology optimization model for seeking optimized macroscale topology and the specified microstructures is established and solved by a generalized multi-material interpolation formulation and sensitivity analysis.Third,several numerical examples show that hybrid lattice structures with different anisotropic configurations accomplish a better lightweight effect than those with various orthogonal configurations,which verifies the feasibility of the presented method.Hence,anisotropic configurations are more conducive to the sufficient utilization of constitutive material.The proposed scheme supplies a reference for the design of hybrid lattice structures and extends the application field of the ICM method.展开更多
基金National Natural Science Foundation of China under Grant No. 52378483the Fundamental Research Funds for the Central Universities under Grant No. DUT21JC07+1 种基金the Scientific Research Fund of Institute of Engineering MechanicsChina Earthquake Administration under Grant No. 2021D17
文摘A substation is a complex coupled system composed of various electrical equipment.Compared with standalone equipment,there is a significant coupling effect in the seismic response of interconnected equipment.To address this issue,this study investigates the seismic interaction of substation equipment with multiple electrical configurations and proposes an improved seismic design method.First,the concept of the coupling coefficient is introduced,which is used to improve the Newmark-βmethod and response spectrum method for the seismic design of standalone equipment.Then,the finite element models of a substation system with multiple configurations are established,and the vibration characteristics and seismic responses of the interconnected equipment are investigated.Finally,the coupling coefficients are obtained by kernel density estimation of the response results under twenty seismic ground motions,and the effectiveness of the proposed method is verified through two numerical examples.The results show that the frequency coupling coefficients vary from 0.69 to 1.42,while the seismic action coupling coefficient has a wider range,changing from 1.04 to 3.91.The coupling effect amplifies the seismic response of higher-frequency equipment,and the amplification degree varies among different configurations for the same type of equipment.
基金This work was supported by the Beijing Natural Science Foundation(No.3192005)National Natural Science Foundation of China(No.11872080)Taishan University Youth Teacher Science Foundation(No.QN-01-201901).
文摘Hybrid lattice structures consisting of multiple microstructures have drawn much attention due to their excellent performance and extraordinary designability.This work puts forward a novel design scheme of lightweight hybrid lattice structures based on independent continuous mapping(ICM)method.First,the effective elastic properties of various microstructure configurations serve as a bridge between the macrostructure and the multiple microstructures by the homogenization theory.Second,a concurrent topology optimization model for seeking optimized macroscale topology and the specified microstructures is established and solved by a generalized multi-material interpolation formulation and sensitivity analysis.Third,several numerical examples show that hybrid lattice structures with different anisotropic configurations accomplish a better lightweight effect than those with various orthogonal configurations,which verifies the feasibility of the presented method.Hence,anisotropic configurations are more conducive to the sufficient utilization of constitutive material.The proposed scheme supplies a reference for the design of hybrid lattice structures and extends the application field of the ICM method.
