## 1 Introduction
### Purpose and Scope of Work  
The primary purpose of this study is to investigate the structural behaviour and performance characteristics of bidirectionally sinusoidal corrugated steel shells under  
Figure 1: The example of a bidirectionally sinusoidal corrugated steel plate ([PERSON] et al. (2019)).  
static and dynamic loading. By leveraging finite element method (FEM) software, such as ABAQUS/CAE 2017 and RFEM 6.05 [20], this research aims to provide a compendious understanding of how these shells respond to considered loading conditions. Static analyses will be conducted to assess the shells' strength and deformation under steady loads, while natural vibrations analyses will examine their dynamic properties and resonant frequencies. Dynamic analyses, including those involving repetitive loading scenarios, will offer deeper insights into the shells' responses to fluctuating forces. [PERSON] et al. (2016) demonstrated the importance of dynamic modelling in understanding the behaviour of structural elements under dynamic loads, providing valuable methodologies that inform this study [21; 22].  
The scope of this research encompasses several key objectives. Firstly, the research involves the development and implementation of numerical models of bidirectionally sinusoidal corrugated steel shells using the Python scripting features in ABAQUS and RFEM. Python scripting enables the automated generation of diverse model configurations, facilitating a systematic exploration of different geometrical and mechanical parameters that impact the structural responses of these elements. This approach not only enhances the efficiency of the model creation process, but also supports rapid iteration over the given list of parameters.  
Secondly, the study includes a comparative analysis of the results obtained from ABAQUS and RFEM. This comparison evaluates the correctness of the numerical imitation of such a structure in each software to predict the subjected elements' behaviour. In the following part of the study, only models created in ABAQUS are utilised.  
Lastly, the investigation systematically explores the influences of different parameters on the performances of the considered elements. Diverse values of parameters such as corrugation amplitude, number of corrugation cells, and steel shell thickness are investigated in order to understand their effects on the structural responses of the subjected elements. These responses include deflections and maximum stresses in the static analysis and natural vibrations analysis, as well as deflections, velocities, accelerations, and stresses in the dynamic analysis. The findings from this analysis aim to provide insights into the optimal configurations of these elements.  
By achieving these objectives, the study aims to advance the current understanding of bidirectionally sinusoidal corrugated steel shells. Through an in-depth analysis of various parameters, such as geometrical configurations, material properties, and dynamic loading conditions, this research provides novel insights into both the static and dynamic behaviour of these complex structures. The detailed parametric investigation not only highlights the intricate relationships between these factors, but also offers practical guidance for optimising design parameters to enhance structural performance. By addressing gaps in the existing literature, particularly in the area of dynamic response, this study contributes valuable and original knowledge to the field of structural engineering, paving the way for more efficient and effective uses of corrugated steel shells in a wide range of engineering applications.