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A Spectral Representation Model for Simulation of Multivariate Random Processes Junjie Luo1, a, Cheng Su1,b and Dajian Han1,c 1 School of Civil Engineering and Transportation, State Key Laboratory of Subtropical Building Science, South China University of Technology aaxljj@163.com, bcvchsu@scut.edu.cn, cardjhan@scut.edu.cn Keywords: Spectral representation method; Multivariate stochastic processes; B-spline interpolation method; Cholesky factorization Abstract.
Introduction Dynamic response of a structure subjected to stochastic loadings is a focus in structure engineering.
Fig. 2 Wind speed time histories of two spatial points Fig. 3 Verification of the auto-PSDF Fig. 4 Verifications of auto-/cross-correlation functions Table 1 Time consumption of different amounts of spatial points （Unit: min） Methods Numbers of points 50 100 150 200 300 500 750 1000 Without optimal algorithm 47.5 93 588 2643 * * * * With optimal algorithm 5.1 12.3 20.9 30.6 50.1 186.4 350.7 660.7 * indicates time consumption is too long to simulate Conclusion remarks The response of structures under various random loadings, such as earthquake loading, turbulent wind loading, is a crucial problem of structure engineering.
An example for simulation of the turbulent wind velocity fluctuations indicates that the proposed model is feasible and the optimal algorithms can effectively decrease the memory consumption and computing time so that it has a wide use in engineering application.

Element bearing ratio based shakedown analysis for branch pipe Yang Zhang1, a, * Wei Zhang1, b, Yihe Qi1, c, and Jian Wang1, d 1 Key Laboratory of Disaster Prevention and Structural Safety of China Ministry of Education, School of Civil Engineering & Architecture, Guangxi University, Nanning, 530004, China a fshjschina@163.com, b zh.ei@163.com, c qiyihe1989@163.com, d wjlmg1228@sina.com Keywords: Element bearing ratio, Shakedown analysis, Branch pipe.
At present, two numerical techniques are mainly used for shakedown analysis of engineering structures, including a full cyclic finite element method and direct methods based on bound theorems.
References [1] D.Weichert and A.R.S.Ponter Limit States of Materials and Structures: Direct Methods (Springer Science, New York 2009) [2] W.Cecot: International Journal for Numerical Methods in Engineering Vol. 61(2004), p. 2139–2158
[5] W.Zhang, L.F.Yang and X.F.Han: Journal of Hydraulic Engineering Vol. 40(2009), p. 1175-1183, in Chinese

Use of Hydraulic Network Model for Evaluating Fire Flow Capacity of a Water Distribution Network Izinyon, O.C. a and Anyata, B.U. b Department of Civil Engineering, University of Benin, Benin City, Nigeria a Izinyon2006@yahoo.com, b bufanyat-a@yahoo.co.uk Keywords: Network hydraulic model, fire flow analysis, system design, Residual pressure, Hydrant Abstract.
Comprehensive Water Distribution Systems Analysis Handbook for Engineers and Planners.
Distribution System Analysis for fire Protection, AWWA, Denver Colorado [7] Sincero, A and Sincero, G. (1996), Environmental Engineering, 2nd Edition Prentice - Hall Publishers, New Delhi, India
Connecticut, USA [13] Agunwamba, J.C. (2000) - Water Engineering System.

Micromechanical Analysis of Excavation Damaged Zone in Anisotropic Rock Mass Shuhong Wang1, a, Dengpan Qiao2, b , Peng Jia 2, c, Nan Zhang 2, d 1 School of Resource and Civil Engineering, Northeastern University, 110004, China; 2 Faculty of Land Resources Engineering, Kunming University of Science and Technology, Kunming, 650093, China a shwang@mail.neu.edu.cn; b qiaodengpan690821@126.com; cnerock@mail.neu.edu.cn; d nerock@mail.neu.edu.cn Keywords: Rocks; Anisotropy; Micromechanics; Excavation Damaged Zone (EDZ), Crack Abstract.
The outcome of this work in understanding the mechanisms of failure around underground excavations in anisotropic and inhomogeneous rocks will assist in rock engineering design.
Jeon, Key Engineering Materials, Vols.280-273(2004) pp.1574-1579 � ���� ���� ���� ���� ����� ����� ����� ����� ����� � ��� ��� ��� ��� ��� � ��� ��� ��� ��� ���� ���� ���� ���� ���� RDG $(� FRXQW V � ���� ���� ���� ���� ����� ����� � ��� ��� ��� ��� ��� � ��� ��� ��� ��� ���� ���� ���� ���� RDG $(� FRXQW V (a) (b) � ���� ���� ���� ���� ���� ���� ���� ��� 
��� ����� � ��� ��� ��� ��� ��� � ��� ��� ��� �� ���� ���� ���� �RDG $(� FRXQW V 0 2000 4000 6000 8000 10000 12000 14000 16000 0 100 200 300 400 500 600 steps Load 0 200 400 600 800 1000 1200 Load AE counts (c) (d) Fig.4 load-steps and cumulative energy release (Obtained from RFPA 2D modeling) for four excavation shapes in anisotropic rock.

Study on Low-carbon Catalytic Combustion Furnace of Natural Gas Siyu Huang1,2, Longfei Yan1,2, Shihong Zhang1,3 1, 2, 3 Beijing Key Lab of Heating, Gas Supply, Ventilating and Air Conditioning Engineering, Beijing university of Civil Engineering and Architecture, China a tcffl@sina.com, b315230892@qq.com, cshihongzhang@bucea.edu.cn Keywords: Catalytic Combustion, Low-carbon, temperature fields Abstract.
Acknowledgements The project sponsored by the Beijing Municipality Key Lab of Heating, Gas Supply, Ventilating and Air Conditioning Engineering; Funding Project for Academic Human Resources Development in Institutions of Higher Learning of Beijing Municipality (PHR201007127) and 2012 funding project (Building environment and facilities engineering).

Numerical Simulation of Polyurethane Strengthened Perforated Masonry Walls under Blast Loading Yurong Guo1,2,a and Hong Zheng1,b 1College of Civil Engineering, Hunan University, Changsha 410082, China 2Key Laboratory of Building Safety and Energy Efficiency, Ministry of Education, Changsha 410082, China ayurongguo@hnu.edu.cn, bzhengzuo1234@163.com Keywords: polyurethane, explosion resistance performance, perforated masonry wall.
Xu, Finite element analysis of response of masonry wall under blast loading, J. of Disaster Prevention and Mitigation Engineering. 27:3(2007) 357-362
Baylot, Modeling concrete masonry wall subjected to explosive loads, ASCE: J. of Engineering Mechanics. 130:9 (2004) 1098-1106
Baylot, et al, Response of 1/4-scale concrete masonry unit (CMU) walls to blast, J. of Engineering Mechanics. 128:2(2002) 134-142

Soreide, Solution techniques for nonlinear finite element problems, International Journal for Numerical Methods in Engineering, 12 (1978) 1677-1696
Yan, A UL formulation for internal force analysis of special frame structures with large displacement, Journal of China Civil Engineering, 25 (1992) 34-44
Mazzoni, Open System for Earthquake Engineering Simulation (OpenSees), User command-language manual, Pacific Earthquake Engineering Research, CA, 2006.

Experimental Studies of Fiber-Reinforced Concrete under Axial Tension HOLOVATA Zlata1,a*, KIRICHENKO Daria1,b, KORNEEVA Irina1,c, NEUTOV Stepan1,d and VYHNANETS Marina1,e 1Odessa State Academy of Civil Engineering and Architecture, 4, Didrihsona str., Odessa, Ukraine, 65029 azlataholovataya@gmail.com, bsunnyderypeople123@gmail.com, ckorneeva@gmail.com, dneutov.stepan@gmail.com, evyhnanets@gmail.com Keywords: concrete, fiber concrete, axial tension, figure eight, anchor fiber, wave fiber, tensile strength Abstract.
Experimental and Computer Researches of Ferroconcrete Beams at High-Temperature Influences, Materials Science Forum 6th International Conference "Actual Problems of Engineering Mechanics" (APEM 2019) ISSN:1662-9752, Vol. 968, pp. 355-360
Experimental Studies of Reinforced Concrete and Fiber-Reinforced Concrete Beams with Short-Term and Long-Term Loads, Materials Science Forum 6th International Conference "Actual Problems of Engineering Mechanics" (APEM 2019), ISSN:1662-9752, Vol. 968, pp. 227-233
Study and comparison of characteristics of models of hollow-core slabs, reinforced concrete and steel-fiber concrete, 7th International Conference on Actual problems of engineering mechanics, APEM 2020, Odesa; Ukraine, 249859 Vol. 864, pp. 9-18.

Experimental Research on Small Diameter Concrete-Filled Steel Tubular by Ultrasonic Detection Rui Xiong1,a , Zhean Lu 1,2,b, Zhigang Ren 1,c, Changwu Xu 1,d 1School of Civil Engineering & Architecture, Wuhan University of Technology, Wuhan 430070, China 2Hubei Key Laboratory of Road, Bridge and Structural Engineering, Wuhan 430070, China acrazyxr99@yahoo.com.cn, bzheanlu@163.com, cwhut.ren@163.com, dchangwu.xu@163.com Keywords: Small diameter concrete-filled steel tubular,Defect,Ultrasonic,Detection Abstract.
Zhang etc. : The Fourth National Conference on Modern Structure Engineering.
(In Chinese) [4] China Engineering Construction Standardization Association: The Ultrasonic Concrete Defects Technology Procedures (CECS21:2000).

Influence of Cement Coarse Particle on the Self-Healing Ability of Concrete Based on Ultrasonic Method Li Zhiqiang1, a, Zhou Zonghui1, b, Xu Dongyu1 and Yu Jinghua2 1 School of Materials Science and Engineering, University of Jinan, Jinan 250022, China 2 School of Chemistry and Chemical Engineering, University of Jinan, Jinan 250022, China alzqjndx2004@163.com, bmse_zhouzh@ujn.edu.cn Keywords: Ultrasonic wave; Damage; Self-healing; Cement diameter Abstract.
Introduction Table 1 Physical properties of cement Cement type Grinding time/min Size /µm Median /µm Density /gcm-3 Specific surface area /m2kg-1 Normal cement - 20.14 14.54 3.03 393.0 Coarse cement 1 5 42.97 27.15 3.16 244.5 Coarse cement 2 10 40.64 22.99 3.19 247.2 Coarse cement 3 15 39.25 21.42 3.14 263.9 Due to its good durability, plasticity and lower cost, concrete becomes one of the most important engineering materials [1-5], whose widely application has important significance on the development of the society [6].
References [1] National center for quality supervision & test of building engineering: Technology of concrete nondestructive testing (China Building Material Industry Publishing House, Beijing, China, 1996)
Kwak: Computer-Aided Civil and Infra.