Considering the strain-dependant characteristic of coatings, a unified nonlinear modelling approach is presented for investigating the nonlinear vibration characteristics of a coupling hard-coated ring disc-cylindric shell structure. The piecewise-continuous coupling conditions are proposed and simulated by distributing piecewise-continuous artificial springs in the circumferential direction of the junction between the shell and disc. According to Sanders’ shell theory and the Kirchhoff plate theory, the equations of motion of the coupling hard-coated ring disc-cylindric shell structure are created by the Rayleigh-Ritz method. By employing the multi-segment partitioning strategy, a general approach is proposed for introducing the strain-dependant characteristic into the equations of motion. According to the Newton-Raphson approach, an innovative efficient algorithm is developed for solving the nonlinear equations of motion. The astringency on the number of hard-coated segments is discussed. Comparison investigations are performed to verify the presented method. Further numerical simulations show that the strain-dependant characteristic of coatings induces the soft nonlinear vibration characteristics and contributes to the vibration reduction of structures. Moreover, the damping mechanism of the strain-dependant characteristic is revealed, and the influence of piecewise-continuous coupling conditions on nonlinear vibrations is investigated.

考虑到涂层的应变相关特性，提出了一种统一的非线性建模方法，用于研究耦合硬涂层环盘-圆柱壳结构的非线性振动特性。通过在壳与盘连接处的圆周方向上分布分段连续人工弹簧，提出并模拟分段连续耦合条件。根据Sanders的壳理论和Kirchhoff板理论，采用Rayleigh-Ritz方法建立了耦合硬涂层环盘-圆柱壳结构的运动方程。通过采用多段分割策略，提出了一种将应变相关特性引入运动方程的通用方法。根据牛顿-拉夫森方法，开发了一种创新的高效算法来求解非线性运动方程。讨论了硬涂层片段数量的收敛性。进行比较研究以验证所提出的方法。进一步的数值模拟表明，涂层的应变相关特性引起了软非线性振动特性，有助于结构的减振。此外，揭示了应变相关特性的阻尼机制，研究了分段连续耦合条件对非线性振动的影响。进一步的数值模拟表明，涂层的应变相关特性引起了软非线性振动特性，有助于结构的减振。此外，揭示了应变相关特性的阻尼机制，研究了分段连续耦合条件对非线性振动的影响。进一步的数值模拟表明，涂层的应变相关特性引起了软非线性振动特性，有助于结构的减振。此外，揭示了应变相关特性的阻尼机制，研究了分段连续耦合条件对非线性振动的影响。