SMA. 1 Brinson Journal of South China University of Technology Vol. 39 No Natural Science Edition June NiTi. NiTi SMA.

Transcription

1 39 6 Journal of South China University of Technology Vol 39 No Natural Science Edition June X * SMA mm NiTi NiTi SMA Matlab 52% TU311 3 doi /j issn X SMA NiTi SMA SMA NiTi SMA Brinson NiTi 3- SMA 4 SMA SMA Dolce 5 SMA SMA Zhang 6 NiTi RHD Wilde 7 SMA Li 8 SMA SMA Brinson 13 SMA SMA Zuo 9 SMA 10 SMA σ - σ 0 = D ε - ε 0 + Ω s ξ s - ξ s SMA Ω T ξ T - ξ T0 + Θ T - T * Brinson yhling@ scut edu cn

2 D = D A + ξ D M - D A Ω s = - ε L D ξ = ξ s + ξ T D Θ Ω s Ω T 100 mm 30 1 a Ω T 0 D A D M 0 1 mm /s σ ε NiTi ξ s ξ T 1 b 0 06 T ε L mm /s NiTi 0 T > A s σ cr s + C M T - M s < σ < σ cr f + C M T - M s ξ s = 1 - ξ s0 μ cos 2 { σ - σ cr f - σ cr C M T - M s ] } ξ T0 [ s - σ cr f ξ s0 2 2 ξ T = ξ T0 - ξ 1 - ξ s - ξ s0 3 s0 T > M s C A T - A f < σ < C A T - A s ξ = ξ 0 μ cos 2 { [ T - A A f - A s - σ s ( C ) + 1 ] 4 A } 25 ξ s = ξ s0 - ξ s0 ξ 0 ξ 0 - ξ 5 ξ T = ξ T0 - ξ T0 ξ ξ 0 - ξ 6 0 M s A s A f C M C A 1 NiTi Fig 1 Hysteretic curves of NiTi wire at different strain amplitudes and loading σ cr s σ cr f rates 1 a 2 NiTi NiTi 14 NiTi 1 b 1 mm Ni 55 8% Ti 44 2% DSC M f = M s = 5 3 A s = A f = 12 0 NiTi M f Brinson Matlab 15 INSTRON 5567 NiTi - 2 NiTi 0 1 mm /s 0 08

3 6 SMA NiTi 2 NiTi 7 1 ΔL 4 a ΔL ΔL F n = F 1 - F 2 7 F 1 = S 0 σ 1 8 F 2 = S 0 σ NiTi - Brinson F n F 1 F 2 S 0 Fig 2 Superelastic stress-strain test curve and simulated results based on Brinson model of NiTi wire NiTi σ 1 σ 2 ΔL 3 4 b ΔL F s = F 3 - F c + F c = F 3 10 F NiTi 3 = F c + k s ε s 11 3 SMA Fig 3 Construction of SMA damper NiTi NiTi NiTi NiTi 4 SMA NiTi Fig 4 Working principle of SMA damper

4 F s F 3 F c ε s k s F ΔL F = F n + F s mm 50 mm 35 mm NiTi mm 500 mm NiTi kn 0 05 MN /m 15 mm 15 NiTi NiTi ε 0 σ 0 ε s0 ΔL ε 1 = ε 0 + ΔL L 0 ε 2 = ε 0 - ΔL L 0 ε s = ε s0 + ΔL L 0 13 ε 1 ε 2 L 0 Brinson σ 1 σ F Matlab - 5 ± 7 5 ± 10 0 ± 15 0 mm 5 c 5 a 5 b 5 - Fig 5 Hysteretic curves of damper 2 4 kn 4 SMA Matlab k = N / m Fig 6 Sketch of steel structural model

5 6 SMA 123 m = 3000 kg c = mm 12 5 mẍ + c x + kx + f x = p t 14 δ = X 0 - X 1 17 m c k p t X 0 f x X 0 f x = k d u + f d 15 X 1 k d f d 52% m /s m /s 2 mẍ + c x + k + k d x = p t - f d % 16 Newmark-β 5 a k d f d 9 Newton-Raphson k 7 SMA k 0d = N /m k 1d = N /m F dy = 2600 N Δ dy = 2 17 mm Fig 8 8 Time history response curves of displacement and acceleration 7 Fig 7 Flowchart of program 9 SMA Elcentro NS Fig 9 Restoring force curves for energy dissipation group of m /s s 8 s SMA damper

6 Zuo Xiao-bao Chang Wei Li Ai-qun et al Design and SMA experimental investigation of a superelastic SMA damper J Materials Science and Engineering A / 439 / J SMA Chen Hai-quan Li Zhong-xian Li Yan-tao Intelligent isolation of high-rise building structures applying shape memory alloy J Journal of Tianjin University J Ni Li-feng Qiu-sheng Li Ai-qun Investigation and Cui Di Li Hong-nan Song Gang-bing Progress on study and application of shape memory alloy in civil engineering J Journal of Disaster Prevention and Mitigation Engineering Song G Ma N Li H N Applications of shape memory alloys in civil structures J Engineering Structures Dolce M Cardone D Mechanical behavior of shape memory alloys for seismic applications austenite NiTi wires subjected to tension J International Journal of Mechanical Sciences and internal variable J Journal of Intelligent Material 4 Systems and Structures J NiTi 133 J Li Guang-bo Cui DiHong Shu-meng Experimental investigation on mechanical properties of new form superelastic shape memory alloy wires J Journal of Dalian University Dolce M Cardone D Marnetto R Implementation and testing of passive control devices based on shape memory alloys J Earthquake Engineering and Structural Dynamics Zhang Y Zhu S A shape memory alloy-based reusable hysteretic damper for seismic hazard mitigation J Smart Materials and Structures Wilde K Gardoni P Fujino Y Base isolation system with shape memory alloy device for elevated highway bridges J Engineering Structures Li Hui Mao Chen-xi Qu Jin-ping Experimental and theoretical study on two types of shape memory alloy devices J Earthquake Engineering and Structural Dynamics J experiment of damper based on shape memory alloy SMA J Earthquake Engineering and Engineering Vibration J Xue Su-duo Dong Jun-hui Bian Xiao-fang et al A new type of shape memory alloy damper J Journal of Building Structures Brinson L C One dimensional constitutive behavior of shape memory alloy thermomechanical derivation with non-constant material functions and redefined martensite Ling Yu-hong Peng Hui-hong Zhang Shuai Mechanical behavior of superelastic NiTi wires J Journal of South China University of Technology Natural Science Edition SMA J Fan Jian Peng Gang Long Xiao-hong The solution of thermodynamic non-linear equation of SMA under complex stress state J Journal of Huazhong University of Science and Technology Natural Science Edition Ma Hongwei Cho Chongdu Feasibility study on a super-

7 6 SMA 125 elastic SMA damper with re-centering capability J Materials Science and Engineering A M MATLAB D 2004 A Novel SMA Damper and Its Vibration Reduction Performance Ling Yu-hong 1 Peng Hui-hong 2 Zhang Shuai 2 1 Architecture Design Research InstituteSouth China University of TechnologyGuangzhou GuangdongChina 2 Department of Civil EngineeringSouth China University of TechnologyGuangzhou GuangdongChina Abstract In this paper first the superelastic property of a domestic NiTi wire being 1mm in diameter was tested and excellent superelasticity of the wire at room temperature was revealed Thenby taking the wire as the materiala novel self-centering SMA Shape Memory Alloy damper was proposedwith its structure and working principle being also introduced Moreovera double-flag hysteretic curve of the damper was found from the simulation with Matlab Finallya dynamic time-history analysis of a one-story steel frame fixed with the SMA damper was carried out The results indicate that the proposed SMA damper effectively suppresses structural displacement response by 52% and controls the structural acceleration response to a certain degree Key words shape memory alloy damper superelasticity seismic response passive control J Liu Han-fu Study of modal parameter yesting methods for railway bridges J World Bridges Modal Parameter Identification and Model Analysis of Grand Double-Deck Highway Bridge Wang Rong-hui 1 2 Cai Lu-rong 1 Huang Yong-hui 1 Chen Kong-liang 1 1 School of Civil Engineering and TransportationSouth China University of TechnologyGuangzhou GuangdongChina 2 State Key Laboratory of Subtropical Building ScienceSouth China University of TechnologyGuangzhou GuangdongChina Abstract Dongjiang Bridge is the first double-deck and three-main-truss steel bridge stiffened with rigid suspension in China In order to determine the modal parameters and obtain a theoretical model of the whole bridgea modal test based on ambient excitation was carried out before the open to traffic Then the verticalhorizontal and torsional modal parameters of the bridge were obtained by means of the frequency-domain identification method Finallya comparison was performed between the test results and the results calculated by the 3D finite element method It is indicated that 1 the three-main-truss steel bridge is of strong integral bearing capacity 2 the contribution of the precast bolting deck to the integral stiffness of the bridge is non-neglectable 3 the model with rigid beamplate connections well describes the joint connection of the whole bridgeand the corresponding calculated intrinsic vibration mode accords well with the tested ones and 4 due to the deficiency in considering the integral joint stiffness of the bridge the theoretical vibration frequencies are slightly lower than the tested oneswith a first fourorder frequency difference being less than 4% Key words modal parameter double-deck highway bridge ambient excitation rigid suspension