Discrete Singular Convolution Method for Dynamic Stability Analysis of Beams under Periodic Axial Forces

被引:14
作者
Li, Wei [1 ]
Song, Zhiwei [1 ]
Chai, Yingbin [1 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Naval Architecture & Ocean Engn, Wuhan 430074, Hubei, Peoples R China
关键词
Discrete singular convolution (DSC); Matched interface and boundary (MIB); Dynamic stability; Elastic restraints; FREE-VIBRATION ANALYSIS; RECTANGULAR-PLATES; DSC ANALYSIS; NONSTATIONARY VIBRATION; PARAMETRIC-INSTABILITY; BOUNDARY-CONDITIONS; CYLINDRICAL-SHELLS; FREQUENCY; EDGES; ALGORITHM;
D O I
10.1061/(ASCE)EM.1943-7889.0000931
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In the present study, the discrete singular convolution (DSC) method is used to analyze the dynamic stability of beams subjected to different boundary conditions under periodic axial forces. A unified DSC algorithm is established to solve the governing equations of beam motion under different boundary conditions. The regularized Shannon's delta kernel is selected as singular convolution to illustrate the present algorithm. The matched interface and boundary method is applied to the treatment of elastic restraint boundary conditions. The effects of a constant term in the periodic axial force and damping on dynamic instability regions are also investigated. The obtained numerical results are compared with those of Bolotin's method. Numerical results indicate that the DSC method is a reliable method for dynamic stability analysis of beams. (C) 2015 American Society of Civil Engineers.
引用
收藏
页数:13
相关论文
共 50 条
[31]   Numerical Analysis of Free Longitudinal Vibration of Nonuniform Rods: Discrete Singular Convolution Approach [J].
Shokrollahi, Mohammad ;
Nejad, Amir Zayeri Baghlani .
JOURNAL OF ENGINEERING MECHANICS, 2014, 140 (08)
[32]   Discrete Singular Convolution Method for Free Vibration Analysis of Tapered Rectangular Plates [J].
Civalek, Oemer ;
Oeztuerk, Baki .
ADVANCES IN VIBRATION ENGINEERING, 2008, 7 (03) :261-274
[33]   Discrete singular convolution method for one-dimensional vibration and acoustics problems with impedance boundaries [J].
Kara, Murat ;
Secgin, Abdullah .
JOURNAL OF SOUND AND VIBRATION, 2019, 446 :22-36
[34]   Nonlinear static response of laminated composite plates by discrete singular convolution method [J].
Baltacioglu, Ali Kemal ;
Akgoz, Bekir ;
Civalek, Omer .
COMPOSITE STRUCTURES, 2010, 93 (01) :153-161
[35]   NUMERICAL SOLUTIONS TO THE FREE VIBRATION PROBLEM OF MINDLIN SECTOR PLATES USING THE DISCRETE SINGULAR CONVOLUTION METHOD [J].
Civalek, Oemer .
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2009, 9 (02) :267-284
[36]   FREE VIBRATION OF ANNULAR MINDLIN PLATES WITH FREE INNER EDGE VIA DISCRETE SINGULAR CONVOLUTION METHOD [J].
Civalek, Oemer ;
Guerses, Murat .
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2009, 34 (1B) :81-90
[37]   Dynamic stability of cylindrical nanoshells under combined static and periodic axial loads [J].
Yasin Heydarpour ;
Parviz Malekzadeh .
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2019, 41
[38]   Dynamic stability of sandwich panels subjected to periodic axial loads [J].
Yuan, Zhangxian ;
Kardomateas, George A. .
JOURNAL OF SANDWICH STRUCTURES & MATERIALS, 2024, 26 (02) :260-276
[39]   Free vibration analysis of dowelled rectangular isotropic thin plate on a Modified Vlasov soil type by using discrete singular convolution method [J].
Gibigaye, Mohamed ;
Yabi, Crespin Prudence ;
Degan, Gerard .
APPLIED MATHEMATICAL MODELLING, 2018, 61 :618-633
[40]   Vibration analysis of laminated composite conical shells by the method of discrete singular convolution based on the shear deformation theory [J].
Civalek, Omer .
COMPOSITES PART B-ENGINEERING, 2013, 45 (01) :1001-1009