A Rayleigh-Ritz solution for free vibration analysis of panel units in hidden frame supported glass curtain walls
Kun Jiang,Wenjing Ouyang,Danguang Pan,Yue Wang,Si-Wei Liu
Abstract
The panel units of frame-supported glass curtain walls are composed of glass panels, structural sealant, and supporting frames. The absence of a unified shape function makes it difficult to construct Ritz functions for solving the dynamic characteristics. This paper proposes a partitioning-integrating method to address the issue of constructing shape functions for panel units, resulting in a semi-analytical solution method for solving the dynamic characteristics of panel units. The new method establishes two independent sets of shape functions governing the displacement of the plate and edge beams and uses structural sealant to form a deformation-coordinated whole between the two. The truncation numbers of the Ritz function are further investigated to develop a method for obtaining high-precision natural frequencies using a small number of Ritz functions. The accuracy of the new method is validated with three numerical cases and two laboratory experiments. The proposed method, applicable to rectangular panel units, significantly simplifies the dynamic characteristics analysis. Additionally, a Ritz function truncating formula was proposed. The computational efficiency of the proposed method is higher than that of the finite element method in solving eigenvalue problems of low-order modes.
Key Words
dynamic characteristics; energy method; free vibration; glass curtain wall; panel unit
Address
Kun Jiang — Department of Civil Engineering, University of Science and Technology Beijing, No. 30 Xueyuan Road, Haidian District, Beijing 100083, China
Wenjing Ouyang — Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, 11 Yuk Choi Road, Hung Hom, Kowloon, Hong Kong, China
Danguang Pan — Department of Civil Engineering, University of Science and Technology Beijing, No. 30 Xueyuan Road, Haidian District, Beijing 100083, China
Yue Wang — Department of Civil and Architectural Engineering, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden
Si-Wei Liu — Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, 11 Yuk Choi Road, Hung Hom, Kowloon, Hong Kong, China
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