## 4 Conclusions  
The goal of this study was to examine how different slit parameters affect the dynamics of slitted beams with PZT installed. The dynamic behaviour and energy harvesting potential of slitted beams using PZT was investigated in terms of the frequency response functions of such beams for different slit distances, slit widths, and tip masses, using both analytical techniques and finite element analysis.  
Key findings of the study include the following:  
1. Impact of Slit Length: Resonance peaks are brought closer together by decreasing the slit length, which improves the coupling between vibrational modes. At larger slit lengths, the response becomes closer to that of a conventional beam without a slit, confirming that the best possible slit placement is essential to achieving maximum energy harvesting efficiency.
2. Influence of Slit Width: Changes in the slit width have an impact on the resonance peaks' amplitude and the existence of anti-resonance dips. While larger slits make anti-resonance dips more prominent, narrower slits show higher peak amplitudes, suggesting better potential for energy harvesting.
3. Tip Mass Effects: Adding tip mass on one side of the beam shifts the resonance peaks and increases their amplitudes, strengthening the energy harvesting capability. Tip mass optimization can greatly enhance dynamic response and performance, as the anti-resonance effects seen between main resonance peaks become less pronounced with increasing tip mass.
4. Validation using Finite Element Analysis: The main resonance frequencies are remarkably consistent between the analytical and FEA results. The FEA model provides a more comprehensive assessment of the beam's dynamic behaviour, accounting for extra complexity, including secondary peaks and anti-resonance troughs.
5. Future Work: Optimizing slit geometry further to improve the dynamic response and energy harvesting capability of the slitted beam could be the main emphasis of further work. Deeper understanding of the mode coupling effects and anti-resonance behaviours can come from parametric research altering the number of slits, their orientations, and their forms. Furthermore, key performance indices like energy efficiency and power density are crucial for optimizing slitted beams. Future work should focus  
Figure 9: Frequency response function of slitted beam with PZT layer for three slit lengths with one tip mass of 5 g.  
on improving these through optimized slit geometries and materials. Furthermore, future work should investigate nonlinear dynamics and their effects on energy collecting efficiency, especially for uses in low-frequency situations. Furthermore, further investigations for self-tuning slitted beams that can adjust to different frequencies for more general and effective energy capture should consider the incorporation of smart materials, like shape memory alloys. Finally, the experimental validation of these cutting-edge designs in real-world environments would offer useful information for slitted beam energy harvesters' scaling-up for pragmatic uses.  
In summary, this study emphasizes how crucial it is to optimize tip masses and slit characteristics to improve the overall performance of piezoelectric energy harvesters. An all-encompassing strategy for comprehending and enhancing the design of slitted beams with PZT for effective energy harvesting could be provided through the combination of analytical and FEA techniques to further advance this potential technology.  
Methodology, S.F.A.; Software, S.F.A., B.B.A. and A.A.; Formal analysis, S.F.A.; Investigation, B.B.A. and A.S.A.; Writing--review & editing, A.S.A. and A.A. All authors have read and agreed to the published version of the manuscript.  
This research received no external funding.  
Not applicable.  
The original contributions presented in the study are included in the article, further inquiries can be directed to the corresponding author.  
The authors declare no conflicts of interest.