With the rapid development of the national economy and technology of thebridge, bridge construction with each passing day in our country. The bridgeconstruction in speed and has made great achievements. And because the relief androad form of requirements in some areas, such as ditch deep, high and steep slopetableland. Large span bridge pier form high was adopted,and the bridge structurestability of super high-pier was increasingly prominent,it was the importantproblem of the safety to the bridge design, construction and operation need, so theproblem need to be urgently in-depth research.There has been much calculation method for the super high-pier analysisproblem. But the calculation results can not reflect structure state vector of thetransfer behavior. In this paper, the transfer matrix method which is efficient andthe simpleness is used to the stability of super high-pier. The transfer matrixmethod is clear concept and the calculation is fast, and could show thecharacteristics of the transfer process with the state vector of the structure.The current research and progress of stability analysis for super high-pier bydomestic and overseas was summarized. And based on the achievement of research,the application and development prospect of the transfer matrix method wasdiscussed.In the static stability analysis of the super high-pier, establish super high-piervertical discrete model, and based on the structure of the static equilibriumdifferential equation, then deduced the field transfer matrix of the single limb superhigh-pier which is on static stability analysis. For double limbs super high-pier,according to the static equilibrium equations point mutations, deduced the point transfer matrix, then the total transfer matrix of the double limb super high-pierwhich is on static stability analysis.In the dynamic properties analysis, the state vector corresponding to the statevector of decomposition transverse and longitudinal state vector. Then discretemodel and well quality quality model was established, based on the structure ofgeometry and physics equation, then the horizontal and vertical vibration transfermatrix was deduced, so the vibration frequency and vibration model of the superhigh-pier was realized.The precise transfer matrix method was used in the stability analysis of superhigh-pier, and according to the structure of the physical and geometric relations,then the precise transfer matrix of the super high-pier static stability wasestablished. Establish high piers power transfer analysis discrete model, anddeduced the vibration of the matrix expression, then the total transfer matrix underdynamic action of the super high-pier was summarized.Combined with precise transfer matrix method and mode decompositionresponse spectrum method, field transfer matrix and the point transfer matrix andthe most adverse reaction under the action of earthquake was got.And according tothe dynamic instability criterion of super high-pier for dynamic stability analysis.The precise transfer matrix method was used in the extremely high piers ofdeformation control. Based on stress and strain and force and displacement of therelationship for concrete pier, the precise transfer matrix under the action oftemperature change was got. And the deformation law under the effect oftemperature changes was researched. |