Tong Wang , Dapeng Tan , Yueqiao Hou , Chengyan Wang , Jinwei Cheng , Wenlong Song
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引用次数: 0
Abstract
Adverse conditions induce surface cracks in fluid-filled thin cylindrical shells, thereby diminishing their mechanical properties and load-bearing capacity. However, due to the discontinuity in vibration characteristics near the cracks and the strong coupling during the transport process, the free vibration response solution and state recognition oriented to the fluid-filled thin cylindrical shell containing a surface crack still face significant challenges. To address the above issues, a free vibration response solution method for fluid-filled thin cylindrical shell containing a surface crack based on Linear Spring Model and linear potential flow theory is proposed, which elucidates the interaction mechanism within the fluid-shell-crack coupling state and establishes a quantitative relationship between these coupling parameters and vibration response characteristics. Subsequently, a natural frequency isoline-based state recognition method is introduced to achieve unified identification of crack morphology and fluid state. Finally, a multi-channel LMS vibration test platform is built, and the error between analytical and experimental results is less than 4 %, thereby corroborating the accuracy and validity of the proposed vibration response solution method. The research findings indicate that both surface cracks and internal fluid contribute to the reduction in natural frequency, with the crack angle being the primary factor. Additionally, it is observed that apart from internal fluid velocity, all parameters exhibit extreme values near a length ratio of L/R = 10.
期刊介绍:
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.