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For the same material parameter, the scale relations are given by (13) Substituting Eq. (13) into Eq. (12), it can be written as (14) It means that if the thin walled cylindrical shell is geometrically scaled by a specific scale factor denoted by k, and materials remain unchanged, the ratio of the frequencies of the prototype to the model ones will be equal to the inverse of geometrical scale factor, i.e., 1/k.
Acknowledgements This work was supported by National Science Foundation of China (51105064), and Fundamental Research Funds for the Central Universities of China (N1305030011).
Journal of Acoustical Society of America (1971), Vol. 49, No. 5, pp.1535-1541
International Journal of Impact Engineering (2007), Vol. 34, pp.89-103
Lauterbach, Traveling waves in rotating cylindrical shells, Journal of Engineering for Industry, ASME, 1971, pp.1229-1232

If the parameters are set reasonable, the ideal mold can be made. 1 Introduction In the Pro / E circumstance, the configuration way is to use entity orders which the stretching, cutting materials and surfaces are established[1].
[3] CHEN F K, LIAO Y C.An analysis of draw-wall wrinkling in a stamping die design.International Journal of Advanced Manufacturing Technology, 2002,19(4):253-259.
Die design method for sheet spring back,” International Journal of Mechanical Sciences,2004,46(7):1097-1113
Materials & Design, 2008,28(4):1311-1320
[10] YANG Hua-lin, DENG Fang, ZHAI Hong-yan, Research on mold base design technology based on uniform assembly model,Journal of Engineering Design，2009,16(2):8-43.

This work was also supported by China Postdoctoral Science Foundation (200902287) and by Ph.D.
Carlson: SPIE Vol.3327(1998), p. 262 [2] U.Lange and L.Richter: Journal of Intelligent Material Systems and Structures Vol.12(2001),p. 161 [3] X.
Gordaninejad: Journal of Intelligent Materials Systems and Structures Vol.10 (1999),p. 601 [4] N.M.Wereley, J.
Rosenfeld: Smart Materials and Structures Vol.13(2004) p. 743 [5] Y.T.
Choi: Smart Materials and Structures Vol.14 (2005) p.1025 [6]C.R.Liao, M.Yu and H.Z.Zhang: Chinese Journal of Mechanical Engineering, Vol.41(2005),p.132

In case of materials fatigue there are two approaches to planning an experiment, depending on the goal to be achieved.
The first step involves defining properties of materials the objects are made of and a developing a simplified geometric model and a material model of air handling unit.
The selected node was used for verification of the numerical model and the material one.
Piotrowski, Structural analysis of the fan section of the air handling unit on dynamic load defined by seismic spectrum, Journal of Polish Cimac, 2013 Vol. 8, No 3
Yang, Continuum and Discrete Element Coupling Approach to Analyzing Seismic Responses of a Slope Covered by Deposits, Journal of Mountain Science, r 2010, Vol. 7, Issue 3, pp 264-275

Boonin1,2,d* 1Science Program, Faculty of Science and Technology, Nakhon Pathom Rajabhat University, Nakhon Pathom, 73000, Thailand 2Center of Excellence in Glass Technology and Materials Science (CEGM), Nakhon Pathom Rajabhat University, Nakhon Pathom, 73000, Thailand anorthstar.fufu@gmail.com, bpyasaka@hotmail.com, cmink110@hotmail.com, dkboonin@hotmail.com Keywords: Lithium–gadolinium, Luminescence spectra, LGBO, Glass, Samarium Abstract.
While most of researches studied on scintillating materials are based on crystals [2-4], the interest on scintillators based on glass matrices is increasing because of their advantages compared with crystals such as better mechanical properties, lower cost, large-scale production, and easy shaping [1].
Eraiah, et al., Optical properties of samarium doped zinc-phosphate glasses, Journal of Physics and Chemistry of Solids 68 (2007) 581–585 [8] V.
,Optical spectroscopy of Sm3+ ions in phosphate and fluorophosphate glasses, Optical Materials 29 (2007) 1429–1439
[11] Mitsuo Yamaga, et al., Resonant energy transfer and cross relaxation between Sm3+ ions in LiYF4 crystals, Journal of Luminescence 132 (2012) 1608–1617.

Materials and Methods Research Area and Data.
Bradley: Journal of Cereal Science, Vol. 48 (2008), p. 46-57
Jojola: Soil Science Society of America Journal, Vol. 59 (1995), p. 1364-1369
Aydin: Journal of Agronomy and Crop Science, Vol. 190 (2004), p. 93-99
Thomsen: The Journal of Agricultural Science, Vol.139 (2002), p. 307-318

The fields of applications and design for piezoelectric effect grew rapidly in recent years, and these materials play an important role in countless areas of modern life.
Gomez and Espinosa derived a model to predict the dielectric properties of porous piezoelectric materials and the dielectric coupling generated by a second phase to the pores as well.
The domain Ω and the unit cell Q in 2-dim In each cell, the blank material denotes the material, and the yellow part denotes the material, and the other denotes the cavity.
The dielectric modules of these materials and the homogenization dielectric module are listed as follows: .
and Mao G.Z., Experimental study on electro-magneto-mechanical coupling behavior of smart materials, Journal of Mechanical Strength, Vol.27(2007),p.217-226

Experimental Materials.
Thakur, Chitosan Based Delivery Systems on a Length Scale: Nano to Macro, Soft Materials, 11 (2013) 125-142
Kipper, Engineering Nanoassemblies of Polysaccharides, Advanced Materials, 22 (2010) 2998-3016
Deng, Graft copolymerization of methyl acrylate onto chitosan initiated by potassium diperiodatonickelate (IV), Journal of Macromolecular Science-Pure and Applied Chemistry, 39 (2002) 129-143
Liu, Graft copolymerization of methyl acrylate onto poly(vinyl alcohol) initiated by potassium diperiodatonickelate(IV), Journal of Applied Polymer Science, 87 (2003) 529-534

Effects of Electric Pulse Modification on the Hot Tearing of Al-5%Cu-0.8%Mn Alloy Bing Wang1,a, Lidan Tang1,b, Jianzhong Wang1,c, Jingang Qi1,d 1Department of Materials science and engineering, Liaoning University of technology, Jinzhou, 121001, China algclwb@yahoo.com.cn, bkittytld@yahoo.com.cn, clgxzemail@126.com, djingang1974@sina.com Keywords: hot tearing; electric pulse modification; refining.
Introduction Al-Cu-Mn alloys have high strength and high hardness at elevated temperature [1,2], all useful for structural materials.
Materials Science and Engineering A Vol. 383 (2004), p. 271 [2] Bing Liu, Zhi long Zhao, Yong xin Wang.
Journal of Crystal Growth Vol. 271 (2004), p. 301 [3] J.Z.
Journal of University of Science and Technology Beijing Vol. 12 (2005), p. 527 [5] Y.

CaO[wt. %] B2O3[wt. %] SiO2[wt. %] CaO/SiO2 molar ratio CBS1 42.80 14.00 43.20 1.06 CBS2 41.60 16.40 42.00 CBS3 40.50 18.60 40.90 CBS4 39.30 20.90 39.80 Experimental Reagent grade chemicals CaO, B2O3 and SiO2 with purities higher than 99 wt. % were chosen as the starting main materials.
After mixed uniformly, the raw materials, compositions as shown in Table 1, were put into a platinum crucible and melted by an electric furnace at 1500ºC for 2 hours.
Zhou, Towards rational design of low-temperature co-fired ceramic (LTCC) materials, Journal of Advanced Ceramics. 1(2012) 89-99 [2] X.Y.
Liu, Effect of boron content on properties of CaO-B2O3-SiO2 system glass-ceramics, Journal of ELECTRONIC COMPONENTS AND MATERIALS. 28(2009)34-36 [6] F.
Wan, Quantitative analysis on content of crystalline phases of Zr doped CBS glass ceramics, Journal of ELECTRONIC COMPONENTS AND MATERIALS. 31(2012)4-7 [9] C.