k ƒ! YWXZ º º t rzyywxzhzyw k ep k Dynamic Behavior of Bridge considering Various Light Weight Rail Vehicles Õ äø ÐãäÕò ãã Sang-Su Kim, Yong-ul Park *, Man-Cheol Kim ** Abstract The purpose of this paper is to establish the design load criteria of light rail vehicles by comparing and analyzing the dynamic behavior of bridges according to vehicle specifications and design load. In this study, readily constructed U Shape PSC irder(below Type) bridge was chosen and various commercial light weight vehicles were considered with increasing vehicle speeds. Modal properties were extracted and moving load analyses were performed using mode superposition method. The results were then compared against dynamic guidelines. It is anticipated that comparisons done by this study will be a reference to the design guidelines and design load. Keywords : light weight train, load, dynamic behavior, moving load analysis, natural frequency ï y t s k ƒ p Ÿk ƒ ep k zƒ y ƒ k ep k zƒ ƒ m p r m± z k «¹ª«m p m t ƒ zƒ g Ÿk l ƒ s Ÿk ƒ ep z k Ž ƒ ¹ zƒ y» k lƒ v ºˆ º m± ää ï k ¹ m ˆ p ˆ m p k¹ˆ ƒ ˆ v vy ˆŽpºy Ž l ¹ k z pƒ Ÿk ƒ Ÿk ƒ p ŽŽ ƒ l Ò å Ñ Õ á Ò ã öá ã Ñ Ñ ãéééééêæêêêêêäéêêã ã Ñ Õ á Ò ã öá ãð Ñ ÑÒ Ñ ø ä ãã Ó ãõ Ó Ó Ñ ø
y ƒ k ep k zƒ ƒ m p r m± z k «¹ª«m p m t ƒ zƒ g Ÿk l ƒ s Ÿk ƒ ep z k Ž ƒ ¹ zƒ y ƒ kv k r g l k s p Ÿ l ƒx ƒ n p p m zƒ v ƒ ƒ Ž ƒ ³ ääñí Òíôø k t ˆ p tm ˆ v l p t ƒ y ƒ m p r m± «¹ª«m p k mƒ p k r ES1 S1 S2 S3 S4 S4' S3' S2' S1' ES1' Fig. 1 Cross section and front view of the considered bridge v k{ s ³ t ˆ l d m z k k z t «¹ª«m Ÿk ªp mm ƒ l t zƒ ƒ ˆ s ƒ ƒ ƒ ƒ m k ª««ª««p k Ÿ º p l ª«««ª p º tÿo zz y ª««ms p p ms p p º ƒ ± ª ª p º p xº l p wx p y ƒ ¹ ƒs y ƒ k l wš r ª «k ³ƒ wš z «ª k ³ƒ r p p k ³ƒ
! Fig. 2 Finite element modeling locations Table 1 Considered vehicles of light weight rail Light weight vehicle Axle load under full capacity (kn) (Single car weight under full capacity) Vehicle configuration K-AT (3 1 ) 90 (180) VAL208 (2 1 ) 115.5 (231) Bombardier (1 1 ) 105 (419) ääôæ ø Ñ ã y ƒ ª Ž p ƒ ƒ Ÿ¼sdv sdp³ Ÿsd p r ƒ t t l Ž e g x t sd k sd¹ «wš¼s d p umzƒ k p um Ÿ¼sd m z ««««ª ƒ t p w ƒ m x p ˆ pv ¹ ƒ ƒ ƒ v k ƒ k wš ¼ p m ekƒy ƒ k ƒ p º Ÿ p Ž r ƒ Ž ƒ p
Table 2 Results of modal analysis Mode Natural frequency (Hz) Natural mode Mode Natural frequency (Hz) Natural mode 1 2.44 2 2.90 3 7.58 4 8.30 5 9.47 6 11.02 k Ÿ m «m k r vƒ e Ÿ m º«p d eff t Ÿ¼ ω o mz ω v = 3.6 d (1) cr o eff z mz v2 v cr =, (2) p mª ««ª º«pm e p r vvpdžÿk k m º«p Ž Table 3 Critical speed of each vehicles i Vehicle ω (Hz) o d eff (m) Critical speed (km/h) Critical speed 1st sub-critical speed 2nd sub-critical speed K-AT 9.64 85 43 28 VAL208 2.44 13.27 117 59 39 Bombardier - - - -
! ää ã ÑÑü p l k ƒ m Žz Žz p r p ƒ ƒ ƒ ª vp k ª m r ƒ ƒ ˆ Ÿ vƒ k ± ªp ƒ p ƒ p ƒ Ž r p «ƒ º m k w º p xºp m¹ ƒ r p sdÿk pp mzƒ p xm r p p «k ³ƒ l ª «r «ª ³ƒ ³ƒy k Ž t k z º m vƒ x ª «ƒ ª Ž z et m± «ª ƒ py mzƒ l ƒ p º r ƒ ƒ š y ŽŽ sdÿk ƒ ƒ ª y r z z ³ et r p ª «Ÿk ˆ ƒ mž (a) Deflection (b) Acceleration (c) Distortion Fig. 3 Results of moving load analysis p p «ª ª «Ÿk ˆ «mžƒ v ƒ ƒ ¹ «º ƒzƒ v l k p ¹ º k Ÿkd ƒ Ž ƒ z½p m «
(a) 10km/h (b) 90km/h (c) 100km/h Fig. 4 Deflection time histories of VAL208 (a) 10km/h (b) 80km/h (c) 100km/h Fig. 5 Acceleration time histories of K-AT ääñï y ƒ «¹ª«m k k m¹ º Ÿk v l ƒ Ž ƒ p ¹ Žƒzƒ ƒ l k p ¹ º k Ÿk ƒ Ž ƒ z½p mzƒ v k k pºp l m± y» k lƒ v ºˆ º m n Ñö [1] Korea Rail Network Authority (2011), Design uideline for Railway Infrastructure. [2] ABAQUS/Standard User s Manual - Version 6.71. (2007) ABAQUS, Inc., Pawtucket, R.I. [3] SYSTRA(1995), "Bridge Design Manual (BRDM) Final Report", Korea High Speed Rail Construction Authority(KHRC) [4] Y.B. Yang, J.D. Yau, and L.C. Hsu, Vibration of Simple Beams due to Trains Moving at High Speeds, Engineering Structures, Vol.19, No.11, 1997, pp.936-944. [5] z v ˆƒ ˆˆƒ y ƒ(2007.4) 2 n [6] k v ˆƒ sƒ y ƒ(2005.7.15) [7] -r k v CIVIL z y ƒ