## 5 Conclusions and Future Research  
Based on the results obtained in this study, several key conclusions can be drawn that guide the direction of future research. Investigations into the structural behaviour of bidirectionally sinusoidal corrugated steel shells under static and dynamic loading provide valuable insights into their performance, including the influence of various geometrical and mechanical parameters on their deformation, stress distribution, and dynamic properties. These findings establish a solid foundation for further exploration, paving the way for more detailed analyses and the potential application of these elements in engineering practice. The following paragraphs outline the primary areas of focus for future research, building on the outcomes of this study to enhance the understanding and application of corrugated steel shell structures. Future research will prioritise several key areas to advance our understanding and propose possible applications for bidirectionally sinusoidal corrugated steel shells. Firstly, there will be a focus on assessing the feasibility and benefits of replacing ribbed steel sheets with corrugated steel sheets in industrial structures. This analysis aims to highlight potential improvements in structural performance, cost effectiveness, and overall efficiency. Secondly, optimisation methods will be extensively employed to determine the optimal values of key parameters, aiming to reduce material usage and construction costs while maintaining or enhancing structural integrity. These efforts will involve refining existing design methodologies and exploring innovative approaches to optimise the design and fabrication processes. Furthermore, there will be a comprehensive exploration of the dynamic behaviour of these elements under various loading conditions, including technological, temperature, and wind loads. This research will enhance our understanding of how these structures perform and inform strategies for enhancing their resilience and performance in real-world applications. Another critical area of investigation will be to perform an analysis concerning the relationship of the height-to-thickness ratio of the subjected element. Innovative design methodologies will be developed to leverage advanced computational tools like neural networks and generative algorithms. These methodologies will contribute to optimising structural configurations, pushing the boundaries of efficiency and performance in the subjected elements. It will aim to establish guidelines for selecting the optimal sheet profiles that balance structural efficiency with material usage, contributing to more sustainable construction practices. One of the key aspects that future research will be focused on is identifying effective strength parameters that allow for representations of the analysed elements using orthotropic plate models, given the repetitive structure of the studied elements. Developing these orthotropic models is crucial for determining precise values for stiffness, strength, and other relevant mechanical properties to reliably mimic the behaviour of corrugated steel sheets. Effective orthotropic models will significantly reduce computational expenses by simplifying complex three-dimensional analyses into more manageable two-dimensional simulations. This reduction in computational load will enable more efficient and extensive studies of these structures, accelerating the design process. Furthermore, the development of such models will provide a compelling argument for the broad application of corrugated steel elements in structural design. It will demonstrate the feasibility of using these efficient, reliable, and computationally optimised models in various engineering projects, facilitating the integration of corrugated steel sheets into a wide range of applications and promoting their adoption in both traditional and innovative construction practices.