## 1 Introduction
[33; 34], was conducted to investigate the mechanical properties of variety of different cellular lattice structures including circle, square, triangle, diamond, honeycomb, and BCCZ manufactured through FDM process. Kagome lattice structure was investigated by [PERSON] et al., whose study reveals that build orientation and printing imperfections have considerable effects on mechanical properties of the structure [35]. Figure 2: Categorization of lattice structure: (**a**) Disordered lattice structure; (**b**) Periodic lattice structure; (**c**) Pseudo-periodic lattice structure. The acceptance of cellular lattice structure directly relates to the advancements and capabilities of AM processes to create design complexities without increasing manufacturing cost. Hence, it improves the feasibility to manufacture graded parts [14]. Through design complexities of cellular lattice structure, some of the properties of these structures can be influenced directly. An adjustment in topology and dimensions of the cell geometry of structure can lead to a physical retort of these structures to display properties unattainable by their base material [36], including mechanical, acoustic, and dielectric properties [37; 38; 39]. The higher strength to weight ratio, and structure thermal conductivity, makes lattice structures a suitable option for aerospace industry [40]. According to the details mentioned above, objects made up of cellular lattice structure provides the benefits of reduction in weight, material, larger surface area to volume ratio, and, for some particular AM processes, less time and energy requirements. It is therefore predicted that most digital fabricated solid objects will be constructed via cellular lattice structures in future [25]. Although it seems that a variety of unit cell types are used to generate cellular lattice structures, a detailed study, performed by [PERSON] and [PERSON] [41], highlights that unit cell types used in previous published research are very limited, around 40 in number, and not all of them are of new design. Some of them are derived from basic existing unit cell type. There exists an immediate requirement of innovative design of cellular lattice structures to be used for different situations and applications. An in-depth survey reveals that none of the researchers, used to generate series of lattice structures, investigated their mechanical performance in compression. We have taken this requirement as our main target of study, which involves design, construction, and investigation of the behavior of lattice structures. This study presented an innovative approach to optimize the use of infill material at the inner region by assigning values to percentage of infill material, frequency, and vertical shift, which determines the thickness and the distance between the bars of the cellular lattice structure. Function based approach is applied to the design and modeling of the series of cellular lattice structure, and performance of each member of series is determined through experimental investigation. The organization of the manuscript is according to the sequence of activities for study. Section 2 provides methodology and the information related to material, machines, process parameters, standard to follow, and modeling requirements of cellular lattice structure. Modeling details of a series of cellular lattice structures is discussed in Section 3. Section 4 provides details of the results of experimental evaluation, and finally, in Section 5, the results and findings are discussed. Section 6 provides the conclusion of the study.