Objective <p>This paper aims to investigate the in-plane and out-of-plane dynamic behaviors of heterogeneous coupled plates welded by composite laminated and isotropic plates with various boundary constraints. The study focuses on understanding the displacement response of heterogeneous coupled plates under in-plane line loads and out-of-plane point loads, and explores the effects of force, geometry, and lamination parameters on their dynamic performance.</p> Methods <p>The energy functional of the heterogeneous coupled plate is deduced according to the equivalent single layer theory, and the discrete solution is accomplished by the Chebyshv-Ritz method to extract the displacement response of the heterogeneous coupled plat. Coupling springs and boundary springs are introduced to construct the continuous relationship between the laminated and isotropic subplates and the respective external boundary conditions. The accuracy and applicability of the proposed method are validated through comparative analysis with finite element solutions.</p> Results <p>The results confirm the convergence, accuracy, and applicability of the current approach. Detailed analysis revealed that the in-plane and out-of-plane forced-vibration displacement responses of the composite heterogeneous welding plate are significantly influenced by the force magnitude, geometry, and lamination parameters. The study provided a comprehensive understanding of the dynamic behavior of such heterogeneous structures under different loading and boundary conditions.</p> Conclusion <p>The proposed method effectively captures the dynamic behavior of heterogeneous coupled plates under various loading and boundary conditions. The findings on the influence of force, geometry, and lamination parameters on the displacement response provide valuable theoretical support for improving the dynamic performance of actual structures.</p>

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Chebyshev-Ritz Solution for In-Plane and Out-of-Plane Dynamic Behaviors of Composite Heterogeneous Welding Plate

  • Gang Xu,
  • Zeyun Yang,
  • Shenjun Pu,
  • Wentao Zhu,
  • Jiahao Du

摘要

Objective

This paper aims to investigate the in-plane and out-of-plane dynamic behaviors of heterogeneous coupled plates welded by composite laminated and isotropic plates with various boundary constraints. The study focuses on understanding the displacement response of heterogeneous coupled plates under in-plane line loads and out-of-plane point loads, and explores the effects of force, geometry, and lamination parameters on their dynamic performance.

Methods

The energy functional of the heterogeneous coupled plate is deduced according to the equivalent single layer theory, and the discrete solution is accomplished by the Chebyshv-Ritz method to extract the displacement response of the heterogeneous coupled plat. Coupling springs and boundary springs are introduced to construct the continuous relationship between the laminated and isotropic subplates and the respective external boundary conditions. The accuracy and applicability of the proposed method are validated through comparative analysis with finite element solutions.

Results

The results confirm the convergence, accuracy, and applicability of the current approach. Detailed analysis revealed that the in-plane and out-of-plane forced-vibration displacement responses of the composite heterogeneous welding plate are significantly influenced by the force magnitude, geometry, and lamination parameters. The study provided a comprehensive understanding of the dynamic behavior of such heterogeneous structures under different loading and boundary conditions.

Conclusion

The proposed method effectively captures the dynamic behavior of heterogeneous coupled plates under various loading and boundary conditions. The findings on the influence of force, geometry, and lamination parameters on the displacement response provide valuable theoretical support for improving the dynamic performance of actual structures.