# Parametric Analysis of Tensegrity Plate-Like Structures: Part 2--Quantitative Analysis
## 1 Introduction  
Tensegrity system consists of separated compressed elements (struts) inside a continuous net of tensioned elements (cables). The most important feature of tensegrity structures is the occurrence of infinitesimal mechanisms equilibrated by self-stress states. The level of the initial prestress, which depends on the self-stress state, affects the stiffness of the structure. That vital feature distinguishes tensegrities from conventional cable-strut frameworks. However, most of the literature focuses on the form-finding of tensegrity structures. This is the most dominant subject, starting from the beginning of idea of tensegrity to the present day. The most popular form-finding approaches are analytical methods [1], force density method [2, 3], non-linear programming [3], dynamic relaxation [4, 5], neural networks [5], and numerical methods [6, 7, 8, 9, 10], out of which the most interesting ones use genetic algorithm [10]. Another, most explored subject is control of the shape of the structure under the external, static or dynamic, load. For example, in [11, 12, 13, 14, 15, 16, 17], the active control of tensegrity models is considered. Such structures, called \"smart\" ones, are equipped with sensors that can detect changes in the behaviour of the structure, and actuators that can counteractthose changes. In turn, in papers [18; 19; 20; 21; 22], dynamic behaviour of tensegirty structures was considered. Other widely investigated areas are possible applications of tensegirty structures, i.e., in space engineering [11; 23], in civil engineering [16; 24; 25], in mechanical engineering [26; 27], or as a new material called metamaterial [19; 28; 29; 30; 31; 32]. In comparison, the parametric analysis, which defines the influence of the initial prestress on the static parameters, is the subject of few works. [PERSON] [33; 34] considered double layer tensegirty grids and compared results obtained according to a linear and non-linear approach with the real static response of an experimental model, varying the level of the initial prestress. [PERSON] [35; 36] studied the influence of the infinitesimal mechanism mode and the level of the initial prestress on static and dynamic response of cyclic cylindrical tensegirty modules. [PERSON] [37] performed non-linear structural analysis of tensegirty domes, taking into account a varying level of the initial prestress. [PERSON] et al. [38] compared the theoretical nodal displacements of the tensegirty plate-like structure built with 2V expander with the real measurements obtained by a tachometer, taking into account different static loads and applying different levels of the initial prestress. [PERSON] and [PERSON] [32] considered how a single pre-stressed modified Simplex module influences the displacements of the whole tensegirty plate-like structure. Additionally, [PERSON] with team carried out parametric analyses of the impact of the level of the initial prestress on the static and dynamic response of the single tensegirty modules, tensegirty towers, tensegirty plate-like structures [39; 40], and real tensegirty structures [41], using the second and third order theory. Non-linear parametric analyses were carried out also by [PERSON]. In papers [42; 43], the static analysis of orthotropic tensegirty plate-like structures was considered, whereas the monograph [44] included a broad static and dynamic parametric analysis of a group of flat and spatial tensegirty structures. In this paper, the quantitative analyses of tensegirty plate-like structures built with modified Quartex modules are conducted. The plates for which qualitative analysis was performed in Part 1 [45] are considered. This paper, with the previous part, provides the complete procedure that investigates the behaviour of the tensegirty structure under external actions.