Research Papers: Gas Turbines: Structures and Dynamics

An Investigation on Dynamic Characteristics of a Gas Turbine Rotor Using an Improved Transfer Matrix Method

[+] Author and Article Information
Cheng Meng

e-mail: mcccwinter@sjtu.edu.cn

Ming Su

e-mail: msu@sjtu.edu.cn

Shaobo Wang

e-mail: bobo.kimi@ sjtu.edu.cn

College of Mechanical Engineering,
Shanghai Jiao Tong University,
No. 800 Dongchuan Road,
Minhang District, Shanghai 200240, China

Contributed by the Structures and Dynamics Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received May 21, 2013; final manuscript received August 5, 2013; published online September 23, 2013. Editor: David Wisler.

J. Eng. Gas Turbines Power 135(12), 122505 (Sep 23, 2013) (8 pages) Paper No: GTP-13-1139; doi: 10.1115/1.4025234 History: Received May 21, 2013; Revised August 05, 2013

This paper presents an investigation on dynamic characteristics of a rod-fastened rotor. Based on the framework of a traditional Riccati transfer matrix method (TMM), an improved Riccati TMM considering contact effects brought by a face tooth is developed. A correction coefficient for equivalent stiffness imported from a three-dimensional (3D) finite element contact case analysis is defined to evaluate the contact effects, and then the dynamic model of the rod-fastened rotor including bearing support is established. A computer program is further developed to obtain the dynamic characteristics such as critical speeds of lateral vibration, mode shapes, and an unbalance response. The improved TMM is applied to investigate the dynamic characteristics of a real central tie rod rotor of the class-F gas turbine for verification of its effectiveness, and the calculated critical speeds are in good agreement with test measurement results, implying that the method is accurate and the dynamic model is reliable. This approach can also be applied to analyze other combined rotors with a homogeneous structure.

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Fig. 1

Discretization of the rotor

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Fig. 2

Mechanical model of the rod-fastened rotor

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Fig. 3

The connection of a face tooth

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Fig. 4

Simplified model of the bearing

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Fig. 5

Finite element model of the meshing between a face tooth

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Fig. 6

An equivalent normal stress–linear strain curve

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Fig. 7

Relationship between the equivalent stiffness and the original stiffness

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Fig. 8

Computation flow chart

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Fig. 9

Dynamic model of a rod-fastened rotor

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Fig. 10

Amplitude–frequency and phase–frequency curve

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Fig. 11

Mode shape of 1380 rpm

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Fig. 12

Mode shape of 2718 rpm

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Fig. 13

Mode shape of 3727 rpm

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Fig. 14

Response curve when adding weight on the first stage of the compressor

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Fig. 15

Response curve when adding weight on the last stage of the compressor

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Fig. 16

Response curve when adding weight on the first stage of the turbine

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Fig. 17

Response curve when adding weight on the last stage of the turbine




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