- Z b = w c + e θ xc Newmark - β m p 1 1. 1 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

* 31111 - - ANSYS DOI 10. 1304 /j. gyjz01407016 DYNAMIC RESPONSE ANALYSIS AND VERIFICATION OF PC CONTINUOUS BEAM BRIDGE UNDER ACTUAL VEHICLE LOAD Wang We Zhao Janfeng Zhejang Insttute of Communcatons Hangzhou 31111 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 - 1-1 - * 011H10 1978 dowewe@ sohu. com 013-1 - 0 Industra Constructon Vo. 44,No. 7,014 工 业 建 筑 014 年 第 44 卷 第 7 期 73

- Z b = w c + e θ xc Newmark - β m p 1 1. 1 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 1 + 1 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 1 0 0 0 h e u c x N 6 = 1 x Y b 0 1 0 h 0 0 v c U V Z b 0 0 1 e = 0 0 w c θ 1 xb 0 0 0 1 0 0 θ xc F v = C v Z va - r e + K v Z va - r e 5 θ 0 0 0 0 1 0 yb θ yc θ 0 0 0 0 0 1 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

[ 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 + + - 38 + m + 15 0 + 5 + 3 0 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 3 3. 1 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

Fg. 3 3 BDANS Anayss fowchart of vehce-brdge coupng vbraton program BDANS 1 860 MPa 1 15. 4 1 395 MPa 4 Fg. 5 η Fg. 4 1 B B C C 3 0. 4 L A A 3. 结 构 建 模 与 有 限 元 分 析 3.. 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 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 5 696. 933 96. 956-7 549. 34-648. 737 1. 19 1. 830 5 74. 48 956. 359-7 654. 931-635. 608 1. 31 1. 79 1 3.. BDANS. 5% ANSYS 76 工 业 建 筑 014 年 第 44 卷 第 7 期

BDANS 6. 8 t b BDANS 6 7 /kg Tabe Parameters vaue of vehce / kn m - 1 / kn m 6 800 359. 5 595. 5 54. 5 1 00 400 400 400 4 400 4 400 400 100 / kn s m - 1 /mm 5. 0 10. 0 10. 0 6. 0 1. 0 1. 0 3. 1 0. 4 1. 4 Fg. 6 Fg. 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 and ANSYS 3. 3 实 桥 结 构 动 力 响 应 计 算 / kn m /mm BDANS 76. 86 98. 37 1. 56 1. 718 ANSYS 76. 86 98. 37 1. 56 1. 718 5 Ⅰ 40. 516 t 5 km /h Ⅱ 53. 44 t 3 km /h Ⅲ 89. 958 t 36 km /h Ⅳ 77. 796 t 5 km /h Ⅴ 138. 166 t 14 km /h BDANS 9 3 BDANS ANSYS BDANS BDANS 3.. 3 BDANS 4-1 - 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

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 - 1 006. JTG H11 004 S. 3 3 BDANS 1999 34 6 663-667.. - - D.. J. 4. J. 014 44 4 108-11. 5. BDANS R. 010. 36 3 1990 5 4 5 J 1 Saatcogu M Ozcebe G. Response of Renforced Concrete Coumns to Smuated Sesmc Loadng J. 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.. X. 1998 38 3 33-336. 6. J. 009 4 17-3. 7 Yan X Henry W Y. Expermenta Studes on Fu-Scae Hgh- Strength Concrete Coumns J. ACI Structura Journa 00 99 199-07. 8. J. 009 30 3 0-6. 78 工 业 建 筑 014 年 第 44 卷 第 7 期