Dominant components of vibrational energy flow in stiffened panels analysed by the structural intensity technique

다국어 초록 (Multilingual Abstract)

Stiffened panels are widely used in naval architecture and ocean engineering, and knowledge about their dynamic behaviour represents important issue in the design procedure. Ordinary vibration analysis consists of natural frequencies and mode shapes determination and can be extended to forced response assessment, while the Structural Intensity (SI) analysis, assessing magnitude and direction of vibrational energy flow provides information on dominant transmission paths and energy distribution including sink positions. In this paper, vibrational energy flow in stiffened panels under harmonic loading is analyzed by the SI technique employing the finite element method. Structural intensity formulation for plate and beam element is outlined, and developed system combining in-house code and general finite element tool is described. As confirmed within numerical examples, the developed tool enables separation of SI components, enabling generation of novel SI patterns and providing deeper insight in the vibrational energy flow in stiffened panels, comparing to existing works.

참고문헌 (Reference)

1 조대승, "집중 부가물이 보강판의 진동파워 흐름에 미치는 영향에 대한 수치 해석적 고찰" 대한조선학회 40 (40): 5-46, 2003

2 Park, Y.H., "Vibrational power flow models for transversely vibrating finite Mindlin plate" 317 : 800-840, 2008

3 Chen, Y., "Vibration behaviours of a boxtype structure built up by plates and energy transmission through the structure" 331 : 849-867, 2012

4 Xu, X.D., "The structural intensities of composite plates with a hole" 65 : 493-498, 2004

5 Xu, X.D., "The energy flow analysis in stiffened plates of marine structures" 42 : 979-994, 2004

6 Pavic, G., "Structural surface intensity: an alternative approach in vibration analysis and diagnosis" 115 : 405-422, 1987

7 Liu, Z.S., "Structural intensity study of plates under lowvelocity impact" 31 : 957-975, 2005

8 Khun, M.S., "Structural intensity in plates with multiple discrete and distributed spring-dashpot systems" 276 : 627-648, 2004

9 Tran, T.Q.N., "Structural intensity analysis of thin laminated composite plates subjected to thermally induced vibration" 78 : 70-83, 2007

10 Cho, D.S., "Structural intensity analysis of stiffened plate using assumed mode method" 35 (35): 76-86, 1998

11 Cho, D.S., "Structural intensity analysis of stepped thickness rectangular plates utilizing the finite element method" 109 : 1-12, 2016

12 Troitsky, M.S., "Stiffened Plates: Bending, Stability and Vibrations" Elsevier Scientific Publishing Company 1976

13 Hambric, S.A., "Prediction of structural intensity fields using solid finite element" 47 : 209-217, 1999

14 Hambric, S.A., "Power flow and mechanical intensity calculations in structural finite element analysis" 112 : 542-549, 1990

15 Xu, X.D., "Numerical study on energy transmission for rotating hard disk systems by structural intensity technique" 46 : 639-652, 2004

16 조대승, "Numerical procedure for the vibration analysis of arbitrarily constrained stiffened panels with openings" 대한조선학회 6 (6): 763-774, 2014

17 Petrone, G., "Numerical and experimental investigations on structural intensity in plates" 140 : 94-105, 2016

18 Cho, D.S., "Natural vibration analysis of rectangular bottom plate structures in contact with fluid" 103 : 171-179, 2015

19 Eck, T., "Measurement of vibrational energy flow in a plate with high energy flow boundary crossing using electronic speckle pattern interferometry" 73 : 936-951, 2012

20 Pavic, G., "Measurement of structure borne wave intensity, Part I: formulation of the methods" 49 : 221-230, 1976

21 Saijyou, K., "Measurement of structural and acoustic intensities using near-field acoustical holography" 35 : 3167-3174, 1996

22 Noiseux, D.U., "Measurement of power flow in uniform beams and plates" 47 : 238-247, 1970

23 MSC Software, "MSC/Patran-PAT304 (PCL and Customization)" 2010

24 MSC Software, "MD Nastran 2010 Dynamic Analysis User's Guide" 2010

25 Cho, D.S., "Forced vibration analysis of arbitrarily constrained rectangular plates and stiffened panels using the assumed mode method" 90 : 182-190, 2015

26 Navazi, H.M., "Experimental measurement of energy density in a vibrating plate and comparison with energy finite element analysis" 375 : 289-307, 2016

27 Lee, H.P., "Diversion of energy flow near crack tips of a vibrating plate using the structural intensity technique" 296 : 602-622, 2006

28 Verheij, J.W., "Cross spectral density methods for measuring structure borne power flow on beams and pipes" 70 : 133-139, 1980

29 Tian, X., "Crack detection in offshore platform based on structural intensity approach" 389 : 236-249, 2017

30 Pascal, J.C., "Characterisation of a dissipative assembly using structural intensity measurements and energy conservation equation" 20 : 1300-1311, 2006

31 Gavric, L., "A finite element method for computation of structural intensity by the normal mode approach" 164 : 29-43, 1993