Tham khảo tài liệu 'modelling of mechanical system volume 2 episode 8', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 258 Structural elements Figure . Collision of two beams asymmetrical case which start with equal and opposite velocities at t 0. The contact time is equal to the back and forth travelling time along an equivalent beam of length 2L. No waves are excited and the velocities of the beams are simply interchanged by the collision. The last case corresponds to an asymmetrical system. The upper plot of Figure shows a global view of the impact which agrees satisfactorily with the conditions and the lower plot focuses on the collision itself. Contact time depends on the beam properties and it may be noticed that waves are excited by the impact which are clearly visible in the trajectory of the second beam dashed line in Figure . Chapter 5 Plates in-plane motion Plates are structural components used as walls roofs panels windows etc. They are modelled as two-dimensional structures characterized by a plane geometry bounded by a contour comprising straight and or curved lines. Plates are intended to resist various load conditions broadly classified as in-plane and out-of-plane loads that is forces either parallel or perpendicular to the plane of the plate respectively. It is found convenient to study their response properties by separating first the in-plane and the out-of-plane motions. In-plane motions of plates are generally marked by the coupling between the two in-plane components of the displacement field. Such a coupling gives rise to new interesting features of in-plane motions with respect to the longitudinal motions of straight beams. Coupling between in-plane and out-of-plane motions occurs in the presence of in-plane preloads and will be considered in the next chapter. On the other hand for mathematical convenience in using Cartesian coordinates presentation will focus first on rectangular plates. Then use of curvilinear coordinates will be introduced to consider plates bounded by curved contours. 260 Structural elements . Introduction .
