The study of fluctuations of structures in general and bridge structures in particular under the influence of moving loads considering the impact of vehicle braking forces draws the attention of many scientists. However, due to the complexity of this problem a static method has been so far applied for approximate calculation in bridge design standards. In this article the author introduces the equation of bending vibrations of beam elements according to the model of dynamic interaction between beam elements and moving vehicle loads considering vehicle braking forces. | Vietnam Journal of Mechanics, VAST, Vol. 33, No. 1 (2011), pp. 27 – 40 BENDING VIBRATION OF BEAM ELEMENTS UNDER MOVING LOADS WITH CONSIDERING VEHICLE BRAKING FORCES Nguyen Xuan Toan Da Nang University of Technology Abstract. The study of fluctuations of structures in general and bridge structures in particular under the influence of moving loads considering the impact of vehicle braking forces draws the attention of many scientists. However, due to the complexity of this problem a static method has been so far applied for approximate calculation in bridge design standards. In this article the author introduces the equation of bending vibrations of beam elements according to the model of dynamic interaction between beam elements and moving vehicle loads considering vehicle braking forces. Key words: bending vibration, braking force, moving load. 1. INTRODUCTION The impact of vehicle braking forces on the bridge is huge and must be considered in design. In the bridge design process of many countries it is imperative to audit vehicle braking force bearing structures. Due to the complexity of this problem in the current processes only vehicle braking force bearing structures have been audited in accordance with a static method based on standard conventional loads. However, the neglecting of dynamic effects of vehicle - bridge interaction may result in large errors [1, 2]. Today modern bridges tend to use high - strength materials, their structure is very slender and their hardness is small; therefore, they are very sensitive to cyclic impact loads, especially, large ones of vehicles moving at high-speeds. As a result, the study of the vibrations of bridge structures enduring/bearing moving loads has been interested by many scientists [3] - [13], [15] - [18]. In reality, the fact that vehicles brake on bridges causes very large vibrations, so the study of bridge structure vibrations enduring moving loads considering the impact of vehicle braking forces is of great .
