Tensegrity structure is a prestressed self-equilibrated system consisting of compressed struts and tensioned cables. Planar truss is one of the most common forms of engineering structures with a wide application. This paper proposes a new class of planar tensegrity trusses whose prototype is unintentionally found by a topology optimization algorithm. The prototype truss is composed of two basic units which are combined alternately. In this paper, the state of prestress of the truss is analytically determined from the equilibrium conditions. The stiffness and strength of the structure are analytically formulated by using the principle of virtual work. Parametric analysis of geometrical parameters on the stiffness and strength of the structure is carried out. By changing the shape of the basic units, the uniform planar tensegrity truss is extended to a fish-bellied truss. Parametric analysis is also carried out for the fish-bellied truss. An example of extending the planar tensegrity truss into a three-dimensional latticed tensegrity truss is also given.

张力结构是一种预应力的自平衡系统，由压缩支柱和张紧的电缆组成。平面桁架是工程结构中最常见的形式之一，具有广泛的用途。提出了一种新型的平面张力桁架，其原型是通过拓扑优化算法无意中找到的。原型桁架由交替组合的两个基本单元组成。在本文中，桁架的预应力状态是根据平衡条件解析确定的。结构的刚度和强度是根据虚功原理解析地确定的。对结构的刚度和强度进行几何参数的参数分析。通过更改基本单元的形状，均匀的平面张力桁架延伸至鱼腹形桁架。还对鱼腹式桁架进行了参数分析。还给出了将平面张力桁架延伸成三维格子张力桁架的示例。