By Peng Wei, Sun Bingnan, Tang Jinchun
In line with analytical equations, a catenary aspect is gifted for thefinite aspect research of cable buildings. in comparison with frequently used point (3-node aspect, 5-node element), a software with the proposed point is of lesscomputer time and higher accuracy.
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Additional info for A catenary element for the analysis of cable structures
04 Fig. 2. Electromechanical coupling factor versus load level. 3. Effects of Initial Fields on Thickness-Shear Deformation We now consider static thickness deformations of a plate under biasing fields . The plate is electroded at its top and bottom surfaces. The Thickness-Shear Modes of Plate Resonators 37 electrodes can be shorted or opened. 1 is the reference configuration of the plate. Fig. 1. Reference configuration of an electroded electroelastic plate. 1. General analysis The plate is pre-loaded and uniform biasing fields are produced.
Reference, initial, and present configurations of an electroelastic body. 1. The reference state In this state the body is undeformed and is free of electric fields. A generic point at this state is denoted by X with Cartesian coordinates XKThe mass density is p 0 . 2. The initial state In this state the body is deformed finitely and statically, and carries finite static electric fields. The body is under the action of body force / a ° , body charge pE, prescribed surface position xa , surface traction T°, surface potential > ° and surface charge aE .
2) can also be viewed as functions of tt versus a,. Let tj be slowly increased from zero to a final value Tt. 3) where the integration limits are symbolic, meaning that the integration is for the loading process beginning with zero surface traction to the final value T,. 2. Open electrodes Next consider the case when the electrodes are open. In this case a, and b are determined by the following boundary conditions as functions of/,: Thickness-Shear Modes of Plate Resonators K2J=tj, ©2=0. 4) Let t, increase from zero to the same Tt.
A catenary element for the analysis of cable structures by Peng Wei, Sun Bingnan, Tang Jinchun