Cable dome structure using continuous ridge cables

A cable dome structure with continuous ridge cables, wherein the cable dome structure consists of n cable-rod plane trusses with continuous ridge cables as structural members distributed along a radial direction, and wherein a pressing rod at a center of the cable dome structure is shared by all cable-rod planes, and all cable-rod plane trusses are connected into a stable whole by k−1 circles of hoop cables;

• each cable-rod plane truss consists of k pressing rods, k+1 cables and one support joint;
• upper joints of the pressing rods are u1, u2, . . . , uk, respectively, from inside to outside, lower joints of the pressing rods are d1, d2, . . . , dk, respectively, from inside to outside, and the support joint is s, which is located at an outermost side of the cable-rod planes;
• a first ridge cable starts from u1, connects u2, . . . , uk successively, and connects to a support joint s at last;
• a tth ridge cable starts from dt-1, connects ut, . . . , uk successively, and connects to the support joint s at last, wherein t=2,3, . . . , k;
• a (k+1)th ridge cable connects points dk and s;
• each circle of hoop cables is a regular n-polygon, which connects the lower joints of the pressing rods at a same position in n cable-rod planes, wherein the hoop cables from inside to outside are a first hoop cable, a second hoop cable, . . . , a (k−1)th hoop cable, respectively;
• wherein in connections between pressing rod joints and the continuous ridge cables of the cable dome structure, a connection between a joint ui and an ith (i=1,2, . . . , k) ridge cable is a fixed connection, and a connection between a joint d1 and an (i−1)th (i=2, . . . , k) hoop cable is a fixed connection;
• connections between remaining continuous ridge cables and the upper joints of the pressing rods are not fixed, the remaining continuous ridge cables cannot slide through the upper joints in a fixed connection mode, and the remaining continuous ridge cables pass through the upper joints in a non-fixed connection mode to form slideable connections, in such a manner that a deformation between adjacent cable segments is transferred to each other, and internal forces between the adjacent cable segments changes uniformly;
• and
• wherein an equilibrium state of the cable dome structure is determined under a condition that a cable force and a rod length are given, in response to a fact that the cable dome structure is in an initial equilibrium state with only self-weight, prestresses of all continuous ridge cables are the same, and prestresses of all hoop cables are the same;
• and an initial shape of the cable dome structure is capable of being changed by altering a prestress ratio of the hoop cables to the continuous ridge cables.