A semi-analytic method is presented to analyze free and forced vibrations of combined conical–cylindrical–spherical shells with ring stiffeners and bulkheads. First, according to locations of discontinuity, the combined shell is divided into one opened spherical shell and a number of conical segments, cylindrical segments, stiffeners, and bulkheads. Meanwhile, a semi-analytic approach is proposed to analyze the opened spherical shell. The opened spherical shell is divided into narrow strips, which are approximately treated as conical shells. Then, Flügge theory is adopted to describe motions of conical and cylindrical segments, and stiffeners with rectangular cross section are modeled as annular plates. Displacement functions of conical segments, cylindrical segments, and annular plates are expanded as power series, wave functions, and Bessel functions, respectively. To analyze arbitrary boundary conditions, artificial springs are employed to restrain displacements at boundaries. Last, continuity and boundary conditions are synthesized to the final governing equation. In vibration characteristics analysis, high accuracy of the present method is first demonstrated by comparing results of the present method with ones in literature and calculated by ansys. Further, axial displacement of boundaries and open angle of spherical shell have significant influence on the first two modes, and forced vibrations are easily affected by bulkheads and external force.
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June 2017
Research-Article
Free and Forced Vibration Analysis of Ring-Stiffened Conical–Cylindrical–Spherical Shells Through a Semi-Analytic Method
Kun Xie,
Kun Xie
School of Naval Architecture
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: xiekun79@163.com
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: xiekun79@163.com
Search for other works by this author on:
Meixia Chen,
Meixia Chen
School of Naval Architecture
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: chenmx26@hust.edu.cn
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: chenmx26@hust.edu.cn
Search for other works by this author on:
Zuhui Li
Zuhui Li
School of Naval Architecture
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: lizuhui925@hust.edu.cn
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: lizuhui925@hust.edu.cn
Search for other works by this author on:
Kun Xie
School of Naval Architecture
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: xiekun79@163.com
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: xiekun79@163.com
Meixia Chen
School of Naval Architecture
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: chenmx26@hust.edu.cn
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: chenmx26@hust.edu.cn
Zuhui Li
School of Naval Architecture
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: lizuhui925@hust.edu.cn
and Ocean Engineering,
Huazhong University of
Science and Technology,
1037 Luoyu Road,
Wuhan 430074, China
e-mail: lizuhui925@hust.edu.cn
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 21, 2016; final manuscript received December 5, 2016; published online March 16, 2017. Assoc. Editor: Izhak Bucher.
J. Vib. Acoust. Jun 2017, 139(3): 031001 (16 pages)
Published Online: March 16, 2017
Article history
Received:
July 21, 2016
Revised:
December 5, 2016
Citation
Xie, K., Chen, M., and Li, Z. (March 16, 2017). "Free and Forced Vibration Analysis of Ring-Stiffened Conical–Cylindrical–Spherical Shells Through a Semi-Analytic Method." ASME. J. Vib. Acoust. June 2017; 139(3): 031001. https://doi.org/10.1115/1.4035482
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