Use of the Symmetries in the Study of Vibration Response of a Hollow Cylinder

Itu, Călin; Vlase, Sorin; Marín, Marín; Toderiță, Ana

doi:10.3390/sym13112145

Cited by 4 publications

(3 citation statements)

References 28 publications

(36 reference statements)

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“…The calculation time is related directly to the unknown quantity that existed in th finite element analysis (Mammoli 1999) [37]. The time taken to solve the equations wit the usual solution is proportional to the cube of the number of unknowns (Itu 2021) [38] The superelement method can also reduce the number of unknown quantities an speed up the analysis process (Qiu 2009) [39]. However, the loads for these types of struc tures are applied mainly to the top chord nodes, which must be set as the primary node Therefore, the number of unknown quantities reduced by the superelement method is no obvious.…”

Section: Mirroring and Basic Blockmentioning

confidence: 99%

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Optimization of Steel Consumption for Prestressed Spatial Arch-Supported Partial Single-Layer Reticulated Shells

et al. 2023

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Steel smelting and production produces a large amount of exhaust gas, which is damaging to the environment. Prestressed spatial arch-supported partial single-layer reticulated shells (PSASPSRSs) are introduced to promote sustainable development in the construction industry. An optimization strategy based on uniform design experiments and iterations is proposed with respect to the design of PSASPSRSs. The optimization aims to reduce steel consumption as much as possible. The optimization constraint takes into account the stability coefficient, frequency, and deflection of the structures. The search space gradually shrinks around the local optimal solution and moves toward the global optimal solution during the optimization process. The optimization procedure stops when the error between local optimal solutions is less than the permitted error of 5%. The tensile force of the prestressed cable, the unified design stress ratio of the members, and the radial grid number of the single-layer reticulated shells act as optimization variables in the finite element model. The parametric analysis revealed that the radial grid number of single-layer reticulated shells significantly affected steel consumption, which was reduced by 13% in the optimized structure. The effectiveness and the practicality of the proposed optimization strategy in the initial design of complicated space grid structures are systematically illustrated.

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Section: Mirroring and Basic Blockmentioning

confidence: 99%

“…The calculation time is related directly to the unknown quantity that existed in the finite element analysis (Mammoli 1999) [37]. The time taken to solve the equations with the usual solution is proportional to the cube of the number of unknowns (Itu 2021) [38].…”

Section: Mirroring and Basic Blockmentioning

confidence: 99%

Optimization of Steel Consumption for Prestressed Spatial Arch-Supported Partial Single-Layer Reticulated Shells

et al. 2023

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show abstract

“…The statistics for this Special Issue related to published or rejected items were as follows [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]: 25 total submissions, 15 published papers (60%), and 10 rejected papers (40%). The geographical distribution of the authors of published papers is shown in Table 1, in which it can be seen that 50 authors are from seven different countries.…”

Section: Statistics Of the Special Issuementioning

confidence: 99%