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| Symplectic method for forced vibration analysis of cylindrical shells with local thinning defects |
| Received:September 10, 2023 Revised:December 06, 2023 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20230910003 |
| KeyWord:cylindrical shell local thinning defect forced vibration steady state response symplectic method |
| Author | Institution |
| 贾菊芳 |
大连工业大学 机械工程与自动化学院, 大连 ;大连理工大学 工程力学系 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 温保岗 |
大连工业大学 机械工程与自动化学院, 大连 |
| 渠广众 |
大连理工大学 工程力学系 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 张全全 |
大连理工大学 工程力学系 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 孙家斌 |
大连理工大学 工程力学系 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
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| Abstract: |
| Many factors like corrosion often cause local thickness thinning of cylindrical shells such as pressure vessels and pipelines.A local thinning defect is a common volumetric defect,and this type of structures inevitably suffer resonance and instability under external excitation.Therefore,the analytical analysis for dynamic responses of cylindrical shells with local thinning defects has important theoretical significance in safety assessment.Traditional analytical methods are mostly semi-inverse methods,which require the assumption of trial functions in advance.For the present model,the trial function is difficult to construct.To solve the above problems,the symplectic method is introduced into the forced vibration of cylindrical shells with local thinning defects.Based on Reissner’s shell theory,a theoretical model in the Hamiltonian system is established,and the high-order partial differential equations in the Lagrangian system is simplified to a system of low-order ordinary differential equations in the Hamiltonian system.Subsequently,by means of the symplectic conjugate orthogonal relationship and the symplectic eigensolution superposition method,the differential equation system is further transformed into an algebraic equation system,and thereby the analytical solution of the original problem can be obtained.In numerical examples,the effectiveness and accuracy are validated,and the influences of geometric parameters of the defects and damping factors on steady-state responses of forced vibration of cylindrical shells are revealed. |
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