This chapter incorporates the influence of a thermal environment to establish a comprehensive nonlinear dynamic model for spinning bolted conical–cylindrical shells under thermal field. The core contribution lies in the development of an equivalent mechanical model for bolted connections under thermal conditions, which captures the amplitude and temperature-dependent nonlinear stiffness and damping characteristics of the joint interface. The theoretical formulation derives the energy expressions for the spinning conical and cylindrical shells based on Donnell’s shell theory. A rigid connection between the two shell segments is simulated using continuously distributed artificial springs of sufficiently high stiffness. Admissible displacement functions are constructed using Chebyshev polynomials, and the system’s equations of motion are derived via Lagrange’s equation. The validity of the proposed model is verified through comparisons with existing literature, finite-element simulations, and experimental tests. Using the verified model, the nonlinear vibration mechanism of the system is elucidated through the evolution of equivalent stiffness and equivalent damping. Furthermore, parametric analysis is conducted to examine the effects of spinning speed and temperature on the dynamic response of the bolted conical–cylindrical shell. This chapter provides a theoretical framework for analyzing the complex nonlinear vibrations of spinning joined-shell structures in thermal environments, offering insights for design and condition assessment in high-temperature spinning machinery applications.

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Spinning Conical-Cylindrical Shells with Bolt Boundary in Thermal Field

  • Yan Qing Wang,
  • Qingdong Chai

摘要

This chapter incorporates the influence of a thermal environment to establish a comprehensive nonlinear dynamic model for spinning bolted conical–cylindrical shells under thermal field. The core contribution lies in the development of an equivalent mechanical model for bolted connections under thermal conditions, which captures the amplitude and temperature-dependent nonlinear stiffness and damping characteristics of the joint interface. The theoretical formulation derives the energy expressions for the spinning conical and cylindrical shells based on Donnell’s shell theory. A rigid connection between the two shell segments is simulated using continuously distributed artificial springs of sufficiently high stiffness. Admissible displacement functions are constructed using Chebyshev polynomials, and the system’s equations of motion are derived via Lagrange’s equation. The validity of the proposed model is verified through comparisons with existing literature, finite-element simulations, and experimental tests. Using the verified model, the nonlinear vibration mechanism of the system is elucidated through the evolution of equivalent stiffness and equivalent damping. Furthermore, parametric analysis is conducted to examine the effects of spinning speed and temperature on the dynamic response of the bolted conical–cylindrical shell. This chapter provides a theoretical framework for analyzing the complex nonlinear vibrations of spinning joined-shell structures in thermal environments, offering insights for design and condition assessment in high-temperature spinning machinery applications.