- Z b = w c + e θ xc Newmark - β m p 车辆 - 桥梁系统耦合关系 Z pb = N 1 w 1 + N θ y1 + N 3 w + N 4 θ y + e N 5 θ x1 + N 6 θ x 3 N 1 = 1-3 x + x3

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1 * ANSYS DOI /j. gyjz DYNAMIC RESPONSE ANALYSIS AND VERIFICATION OF PC CONTINUOUS BEAM BRIDGE UNDER ACTUAL VEHICLE LOAD Wang We Zhao Janfeng Zhejang Insttute of Communcatons Hangzhou Chna Abstract Takng a three-span prestressed concrete contnuous box grder brdge as a research object the vehce and brdge dfferenta equatons of moton of snge beam were estabshed usng vehce-brdge coupng vbraton reatonshp whch was but through compatbe reatonshp of deformaton and force between vehce and brdge. Usng the WIM system nstaed on brdge the actua traffc oad movng on brdge was effcenty dentfed whch was taken as vehce oad nformaton nputtng nto updated sef-deveoped brdge dynamc response cacuaton program. The brdge dynamc response under actua vehce oad can be cacuated by the program qucky and the cacuaton resut has been verfed statcay and dynamc verfcaton has been done usng ANSYS software and brdge dynamc stran response under actua traffc fow respectvey. Keywords actua vehce oad coupng vbraton dynamc response verfcaton - - ANSYS * 011H dowewe@ sohu. com Industra Constructon Vo. 44,No. 7,014 工业建筑 014 年第 44 卷第 7 期 73

a three-span prestressed concrete contnuous box grder brdge as a research object the vehce and brdge dfferenta equatons of moton of snge beam were estabshed usng vehce-brdge coupng vbraton reatonshp

2 - Z b = w c + e θ xc Newmark - β m p 车辆 - 桥梁系统耦合关系 Z pb = N 1 w 1 + N θ y1 + N 3 w + N 4 θ y + e N 5 θ x1 + N 6 θ x 3 N 1 = 1-3 x + x3 N 3 = x - x N 3 = 3 x - x3 N 3 4 = - x + x3 N 5 = 1 - x N 6 = x 1 N 1 N N 3 N 4 N 5 N 6 x 1 m w = 1 θ x = 1 θ y = 1 1 x y Z pb N Zpb = N 1 w 1 + N θ y1 + N 3 w + N 4 θ y + U 1 V ( w x Fg. 1 Geometrca coupng reaton between whees and brdge deck of snge grder mode N 1 = - 6 x + 6 x x N = 1-4 x + 3 x 3 x 1 N 3 = 6 x - 6 x m m u c v c w c θ xc θ yc θ zc T x N 4 = - x + 3 x 3 x N 5 = - 1 X b h e u c x N 6 = 1 x Y b h 0 0 v c U V Z b e = 0 0 w c θ 1 xb θ xc F v = C v Z va - r e + K v Z va - r e 5 θ yb θ yc θ C v K v θ zb zc Z va r e X b Y b Z b Z x y z θ xb θ yb θ va zb z e Z va r e e h p x y r ( + x3 N θ x y1 + N 3 w x + N 4 θ x y + e N 5 θ x1 + N 6 θ x + N e U 5 V θ x1 + N 6 ( θ x x x + r x U x V 4 74 工业建筑 014 年第 44 卷第 7 期

m w = 1 θ x = 1 θ y = 1 1 x y Z pb N Zpb = N 1 w 1 + N θ y1 + N 3 w + N 4 θ y + U 1 V ( w x 1 + 1 Fg.

3 [ P eq = 0 F v 1 + x ( 1 - x ( x ( ( 0 F v 3 - x 1. 实际交通车辆的车型参数 ( 1 - x ( x ( ( 0 e F v 1 + x 0 e F v 3 - x ( x ( ( 0 F v x 1 - x 0 - F v x 1 - x M v C v 9 5 K b u b 4 5 K v u v F bg F vg F bv F vb a b Z vr θ vr Z val K vul K vl N /m N s /m u Z bl r L L h Fg. Anayss mode of -axe and 3-axe vehces 1. 3 车辆 - 桥梁耦合振动的求解 11 0 m m m 7 M b u b + C b ub + K u = F b b bg + F bv 9. 5 m 8. 5 m { C50 M v uv + C v uv + K v u v = F vg + F vb 9. 5 m 5 m 7. 5 m m T ] 6 M b C b BDANS - BDANS Brdge Dynamc Anayss System 5 BDANS - Newmark - β BDANS 3 BDANS ANSYS MIDAS CIVIL 工程简介 104 Y 实际车辆荷载作用下的预应力混凝土连续梁桥动力响应分析及验证王巍, 等 75

val K vul K vl N /m N s /m u Z bl r L L h Fg. Anayss mode of -axe and 3-axe vehces 1.

4 Fg. 3 3 BDANS Anayss fowchart of vehce-brdge coupng vbraton program BDANS MPa MPa 4 Fg. 5 η Fg. 4 1 B B C C L A A 3. 结构建模与有限元分析 t BDANS ANSYS ANSYS 1 4 Instaaton poston of sensors on box grder of man brdge BDANS ANSYS MIDAS CIVIL MIDAS BDANS MIDAS 5 5 a b MIDAS The MIDAS straght brdge and curved brdge mode of man brdge Tabe 1 1 Comparson of bendng moment and deformaton / kn m / kn m /mm 30 t 30 t 30 t BDANS. 5% ANSYS 76 工业建筑 014 年第 44 卷第 7 期

. 1 30 t BDANS ANSYS ANSYS 1 4 Instaaton poston of sensors on box grder of man brdge BDANS ANSYS MIDAS CIVIL MIDAS BDANS MIDAS 5 5 a b MIDAS The MIDAS

5 BDANS 6. 8 t b BDANS 6 7 /kg Tabe Parameters vaue of vehce / kn m - 1 / kn m / kn s m - 1 /mm Fg. 6 Fg. 7 6 m Longtudna oadng poston of vehce 7 m Transverse oadng poston of vehce 5 BDANS BDANS 8 ANSYS BDANS 3 BDANS ANSYS BDANS Tabe 3 Comparson of statc cacuaton resuts between BDANS and ANSYS 3. 3 实桥结构动力响应计算 / kn m /mm BDANS ANSYS Ⅰ t 5 km /h Ⅱ t 3 km /h Ⅲ t 36 km /h Ⅳ t 5 km /h Ⅴ t 14 km /h BDANS 9 3 BDANS ANSYS BDANS BDANS BDANS BDANS 实际车辆荷载作用下的预应力混凝土连续梁桥动力响应分析及验证王巍, 等 77

7 6 m Longtudna oadng poston of vehce 7 m Transverse oadng poston of vehce 5 BDANS BDANS 8 ANSYS 8 5 3 BDANS 3 BDANS ANSYS BDANS Tabe 3 Comparson of statc cacuaton resuts between BDANS

6 Fg. 8 a Ⅰ b Ⅱ c Ⅲ d Ⅳ e Ⅴ 8 Comparson of theoretca and measurng dynamc stran tme-hstory Fg. 9 9 The response of actua vehce fow on brdge JTG H S. 3 3 BDANS D.. J. 4. J BDANS R J 1 Saatcogu M Ozcebe G. Response of Renforced Concrete Coumns to Smuated Sesmc Loadng J. ACI Structura Journa Azznamn A Corey W G Joha L S. Effects of Transverse Renforcement on Sesmc Performance of Coumns J. ACI Structura Journa J J X J Yan X Henry W Y. Expermenta Studes on Fu-Scae Hgh- Strength Concrete Coumns J. ACI Structura Journa J 工业建筑 014 年第 44 卷第 7 期

ACI Structura Journa 1989 86 1 3-1. Azznamn A Corey W G Joha L S. Effects of Transverse Renforcement on Sesmc Performance of Coumns J. ACI Structura Journa 199 89 4 44-450.. J. 3-3.. J. 1994 15 6 5-30.

(2015-2016-2)-0004186-04205-1 140242 信号与系统 Ⅰ 学科基础必修课 37 37 1 教 203 17 周 2016 年 06 月 13 日 (08:00-09:35) (2015-2016-2)-0004186-04205-1 141011

(2015-2016-2)-0004186-04205-1 140242 信号与系统 Ⅰ 学科基础必修课 37 37 1 教 203 17 周 2016 年 06 月 13 日 (08:00-09:35) (2015-2016-2)-0004186-04205-1 141011 关于 2015-2016 学年第二学期期末周内考试时间地点安排选课课号班级名称课程名称课程性质合考人数实际人数考试教室考试段考试时间 (2015-2016-2)-0006178-04247-1 130101 测试技术基础学科基础必修课 35 35 1 教 401 17 周

- Z b = w c + e θ xc Newmark - β m p 车 辆 - 桥 梁 系 统 耦 合 关 系 Z pb = N 1 w 1 + N θ y1 + N 3 w + N 4 θ y + e N 5 θ x1 + N 6 θ x 3 N 1 = 1-3 x + x3

- Z b = w c + e θ xc Newmark - β m p 车辆 - 桥梁系统耦合关系 Z pb = N 1 w 1 + N θ y1 + N 3 w + N 4 θ y + e N 5 θ x1 + N 6 θ x 3 N 1 = 1-3 x + x3