Abstract
Structural dynamics modification (SDM) is a very effective technique to improve a structure’s dynamic characteristics by adding or removing auxiliary structures, changing material properties and shape of structure. Among the SDM techniques, changing or modifying structure shape to raise its natural frequencies has been mostly relied on engineer’s experience and time-consuming trial-and-error process. To develop a systematic method to modify structure shape, surface-grooving technique is studied. In this work, the shape of base structure is modified to improve its dynamic characteristics such as natural frequencies via surface-grooving technique. Grooving shape is formed by merging the neighboring small embossed elements after analyzing frequency increment sensitivities of all the surrounding embossed elements. All this process is targeted to pack in a software to get an optimum grooving shape automatically. In this package, the initial grooving position starts from the element having the highest modal strain energy then it expands into neighboring elements. The range of grooving area for checking its frequency sensitivities is restricted only to their surrounding elements to reduce its computation effort. The developed algorithm was tested with an L-shaped plate and hard disk drive (HDD) cover to raise its natural frequency by giving some groove on its surface. Also, the grooved HDD cover design was manufactured using rapid prototyping and tested to prove the effectiveness of the surface grooving as a SDM tool.
Similar content being viewed by others
References
Avitabile P (2002) Twenty years of structural dynamics modification—a review. Proceedings of 20th International Modal Analysis Conference, Los Angeles, CA, 356–372
Balmes E (2003) Structural dynamics toolbox version 5.1 (for use with MATLAB), http://www.sdtools.com
Ding X, Yamazaki K (2004) Stiffener layout design for plate structures by growing and branching tree model(application to vibration-proof design). Struct Multidiscipl Optim 26:99–110
Jung E-I, Park Y-S, Park KC (2005) Structural dynamics modification via reorientation of modification elements. Finite Elem Anal Des 42(1):50–70
Lam YC, Santhikumar S (2003) Automated rib location and optimization for plate structures. Struct Multidiscipl Optim 25:35–45
Lee JH, Kim GH, Park YS (2005) A geometry constraint handling technique for stiffener layout optimization problem. J Sound Vib 285(1/2):101–120
Laananen DH, Renze SP (1993) Buckling of open-section bead-stiffened composite panels. Compos Struct 25(1/4):469–476
Lipeles J (1989) Stiffening panels with full-length beads. Mach Des 61(14):100–102, July 6
Liu ZS, Hansen JS, Oguamanam DCD (1998) Eigenvalue sensitivity analysis of stiffened plates with respect to the location of stiffeners. Struct Optim 16:155–161
Luo JH, Gea HC (1998) Optimal bead orientation of 3D shell/plate structures. Finite Elem Analysis Des 31(1):55–71
Musgrove MD, Greene BE, Shideler LJ, Bohon HL (1974) Advanced beaded and tubular structural panels. J Aircr 11(2):68–75
Park YH, Park YS (2000) Structure optimization to enhance its natural frequencies based on measured frequency response functions. J Sound Vib 229(5):1235–1255
Pereyra LR, Osegueda RA, Carrasco CJ, Ferregut CM (1999) Damage detection in a stiffened plate using modal strain energy differences. Proc SPIE Int Soc Opt Eng 3586:211–222
Querin OM, Steven GP (1998) Evolutionary structural optimization using a bidirectional algorithm. Eng Comput 15(8):1031–1048
Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization. Comput Struct 49(5):885–896
Yang RJ, Chen CJ, Lee CH (1996) Bead pattern optimization. Struct Optim 12:217–221
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Park, MY., Park, Y. & Park, Ys. Raising natural frequencies of a structure via surface-grooving technique. Struct Multidisc Optim 34, 491–505 (2007). https://doi.org/10.1007/s00158-007-0103-9
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00158-007-0103-9