Vibration Analysis for Frame Structures Using Transfer of Dynamic Stiffness Coefficient

Moon, Dug Hee; Choi, Myoung Su

doi:10.1006/jsvi.1999.2970

Cited by 32 publications

(10 citation statements)

References 6 publications

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“…However, the false roots [16], which are not natural frequencies, can be inevitably obtained when the bisection method is used for finding the solution of Eq. (15) [9,16]. In order to solve this problem, the function The transfer stiffness coefficient method has many merits in terms of computational speed and storage.…”

Section: Transfer Stiffness Coefficient Methods (Tscm)mentioning

confidence: 99%

“…First, we cannot always readily find all the natural frequencies within the searching frequency region when analyzing free vibration for complex or large-scale structures. This is because TSCM might fail to find two close natural frequencies in the procedure of searching the roots of the frequency equation [9]. It is very difficult to find the double root of the frequency equation in TSCM.…”

Section: Introductionmentioning

confidence: 98%

“…The authors of this present study have developed the transfer stiffness coefficient method (TSCM) [8][9][10] based on the transfer of the stiffness coefficient matrix that expresses the relationship between the force and the displacement vectors at each node of an analytical model. TSCM was applied successfully for various structures such as beam, frame, plate structures, and so on.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Development of free vibration analysis algorithm for beam structures by combining Sylvester’s inertia theorem and transfer stiffness coefficient method

2012

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A new free vibration analysis method, which is called the Sylvester-transfer stiffness coefficient method (S-TSCM), is developed by combining Sylvester's inertia theorem and the transfer stiffness coefficient method. In this paper, the free vibration analysis algorithm of a straight-line beam structure is formulated by S-TSCM. From the computation results of the free vibration analysis for the three types of beam structures, we confirm that S-TSCM is a very effective method. In particular, S-TSCM is superior to both the transfer stiffness coefficient method and the transfer matrix method in terms of computational accuracy and time. In the free vibration analysis for the beam structure with a large number of degrees-of-freedom, S-TSCM is superior to the finite element method in terms of computational time and storage.

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Section: Transfer Stiffness Coefficient Methods (Tscm)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Development of free vibration analysis algorithm for beam structures by combining Sylvester’s inertia theorem and transfer stiffness coefficient method

2012

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“…However, it requires long computation time and large computation memory for accurately solving dynamic problems of structures that have a number of degrees-of-freedom [1][2][3][4][5][6][7][8][9][10][11]. To overcome the above limitations of the FEM, some numerical methods have been developed and used for computing the transient responses of rectangular plate structures [3,6,8].…”

Section: Introductionmentioning

confidence: 99%

Development of high speed computation algorithm for transient analysis of rectangular plates

et al. 2009

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A new transient analysis method for a rectangular plate structure comprised of a large number of plate elements was developed in order to significantly reduce computational time and memory. This algorithm was derived from the combination of the transfer technique of the transfer mass coefficient method, the modeling technique of the finite element method, and the numerical integration technique of Newmark's method. In this paper, the algorithm for the transient analysis of a rectangular plate structure is formulated by the proposed method. In order to verify the computational accuracy and efficiency of the proposed method, the results obtained by the proposed method were compared with those obtained by the finite element method and the finite element-transfer matrix method. The proposed method, the finite element-transfer mass coefficient method, could considerably reduce the computation time without the loss of accuracy, in spite of using small computation memory, by using the transfer rules successively.

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“…Some authors, using FEM techniques, analyzed free vibrations of complex structures, which are used as load-bearing elements of building structures (Ansell 2005;Begum et al 2007;Brownjohn et al 2001;Buonopane et al 2006;Moon et al 2000). According to A. R. Kukreti (Kukreti et al 2006) the modelling of dynamic behaviour of steel frame joints was investigated.…”

Section: Introductionmentioning

confidence: 99%

Numerical Model of Aviation Gearbox Test Rig in a Closed Loop Configuration

Markowski

Noga

Rudy³

2010

Aviation

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Abstract. The development of computer techniques and computational systems based on the finite element method allows one to conduct a free vibration analysis of large systems like an aviation gearbox test rig. The object of this paper is to present a free vibration analysis of a gear fatigue test rig working in a closed loop configuration. A numerical model of the test rig based on the finite element method is presented in this paper. The base model contains all the essential structures of the real system. After the numerical results of the natural frequencies of the rig were obtained, they were then verified by the experimental results on a real object. Numerical analysis was performed using the ANSYS code.

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Vibration Analysis for Frame Structures Using Transfer of Dynamic Stiffness Coefficient

Cited by 32 publications

References 6 publications

Development of free vibration analysis algorithm for beam structures by combining Sylvester’s inertia theorem and transfer stiffness coefficient method

Development of free vibration analysis algorithm for beam structures by combining Sylvester’s inertia theorem and transfer stiffness coefficient method

Development of high speed computation algorithm for transient analysis of rectangular plates

Numerical Model of Aviation Gearbox Test Rig in a Closed Loop Configuration

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