This paper proposes a synthetic approach to design and implement a two-degree of freedom tuned mass damper (2DOFs TMD), aimed at damping bending and torsional modes of bridge decks (it can also be applied to other types of bridges like cable-stayed bridges to realize the energy dissipation). For verifying the effectiveness of the concept model, we cast the parameter optimization of the 2DOFs TMDs conceptual model as a control problem with decentralized static output feedback for minimizing the response of the bridge deck. For designing the expected modes of the 2DOFs TMDs, the graphical approach was introduced to arrange flexible beams properly according to the exact constraints. Based on the optimized frequency ratios, the dimensions of 2DOF TMDs are determined by the compliance matrix method. Finally, the mitigation effect was illustrated and verified by an experimental test on the suspension bridge mock-up. The results showed that the 2DOFs TMD is an effective structural response mitigation device used to mitigate the response of suspension bridges. It was also observed that based on the proposed synthetic approach, 2DOFs TMD parameters can be effectively designed to realize the target modes control.
Abstract. According to actual working condition, the catenary equations of elastic track tope for setting-up is proposed based on the cableway erection requirement, such as the erection angle of end, the initial cable length and midpoint position of cable. The mechanics equilibrium equations, the loads span equations and the consistent equations are presented by analysis of track rope stress state under loads. The nonlinear equations are constructed for elastic track tope with multiple loads and the initial values of newton iteration method are obtained to solve the nonlinear equations. The results of this method are compared with the testing results and numerical results in other literatures and the contrast verifies the reliability of this method. The method is more concise and has smaller amount of calculations with a unified form. It can provide effective means to design the cargo cableway and to check the engineering safety during the erection stage and running stage of cableway.
PrefaceThe overhead cargo cableway has many characteristics, easy line selection, high transportation capability and strong adaptability, etc. The problems of the cableway about design, security assessment, and component selection are more and more important.Calculation methods of the track rope of the cableway are mainly the analytic method and the finite element method. The analytic method mainly consists of the catenary method [1-3] and the parabola method [4][5]. The catenary method can really reflect the cable shape of the actual suspension rope, the results obtained through theoretical calculation of the catenary method are considered as true solution. Dead weight of the rope structure is assumed to distribute evenly in the parabola theory, it is an approximate calculation method which takes the former two items in the catenary theory. The finite element method mainly includes the two node rod element [6][7][8] and the multiple nodes curve element [9,10], based on the complete Lagrange description or Euler description, calculation method approximately consists of the increment method and the superposition method. Because it is necessary to carry out simplification or approximate during establishing the finite element format of the rope structure, the obtained calculation models are also different.For the cargo freight cableway, it is a common acknowledge that track rope without elastic elongation is the catenary. Many references have given out the theoretical reduction process and the relevant calculation equation of the balance equation when the rope structure only bears dead weight [11,12]. For the cargo cableway with the great span, the track rope will generate elastic a Corresponding
With the increasing number of UHV transmission lines crossing projects, suspension type spans are widely used in cross-construction. Among them, under the condition of construction accidents, the dynamic impact of the bearing cables and towers on the wires has received extensive attention. Based on this problem, this paper studies the impact of dynamic impact loads on transmission towers under construction accident conditions, and proposes reinforcement measures for transmission towers.
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