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(8) Figure 9: Single axis notch type flexure hinge Where / 2 , / 2 t R h R  , E is the Young's Modulus of the material, za is the angular rotation about the Z - axis in radians and zM is the external bending torque.
The maximum bending moment is given by: m max 2Ipin M t   (9) where Imin=bt3/12, is the smallest moment of inertia of the flexure hinge about the axis of rotation and σp is the stress limit of a ductile material in this case.
Johnson, "Design of Orientation Stages for Step and Flash Imprint Lithography", Journal of Precision Engineering [3] Pei Xu, Yu Jingjun, Zong Guanghua, Bi Shusheng, Yu Zhiwei, "Analysis of Rotational Precision for an Isosceles-Trapezoidal Flexural Pivot", J of Mech.
Handley, "Review of circular flexure hinge design equations and derivation of empirical formulations", Journal of Precision Engineering, vol 32, pp 63-70, 2008 [8] Meitl, Matthew A.; Zhu, Zheng-Tao; Kumar, Vipan; Lee, Keon Jae; Feng, Xue; Huang, Yonggang Y.; Adesida, Ilesanmi; Nuzzo, Ralph G.; Rogers, John A,.
"Transfer printing by kinetic control of adhesion to an elastomeric stamp", Nature Materials,vol. 5, pp 33-38, 2006 [9] C.

Introduction Concrete still plays an irreplaceable role in the future for a long period of time as the main building materials [1-2].
Concrete materials and mix proportion.
Du, Ultrasonic detection in concrete structures of damage from sulfate attack, Journal of China University of Mining & Technology. 3(2011)373-378.
Guo, Sulfate corrosion of concrete with fly ash or slag in saline soil environment, Journal of Xuzhou Institute of Technology (Natural Science Edition). 30(2015) 70-75.

Instead of EPS plate and some other efficient organic heat preservation materials, the all-lightweight aggregate concrete realized inorganic, low-carbon, and form structural inherent heat-retaining properties.
It can be the structural material instead of ordinary concrete.
Journal of Zhejiang University of Technology. 2010(6):332-337
Journal of Architecture and Civil Engineering, 2008(6):56-62
Sichuan Building Science, 2008(10):59-61

Computation step of stochastic weighted entropy In engineering practice, geotechnical parameter samples are mostly small samples due to various uncertainties arising from the variability exhibited by properties of geotechnical materials from one location to the other, even within nominally homogeneous profiles.
Table. 4 Results of Kolmogorov-Smirnov testing Types of piles Significance level Critical value Traditional method Proposed method driven piles 0.05 0.25907 0.07992 0.06965 bored piles 0.05 0.28724 0.14131 0.06098 Conclusion Due to soil parameter uncertainty arises from the variability exhibited by properties of geotechnical materials from one location to the other, even within nominally homogeneous profiles, geotechnical parameters samples are mostly small samples.
Journal of Physics: Condensed Mater, 22(6):1-13
Journal of Applied Mathematics,10(2): 247-253
Wuhan: Huazhong University of Science & Technology

Experimental Materials.
A lot of researches on fixed bed pyrolysis have been reported for different materials.
Chemical Engineering Journal, 2009, 145(3): 412-419
Journal of Analytical and Applied Pyrolysis, 2002, 63(1): 209-222
London: Elsevier Applied Science,1988. 497-508

Materials and Methods Mobile radio channel simulation was used because the system tests and evaluation which are less expensive and more reproducible than field trials can be easily carried out.
Haitham : Performance of Orthogonal Frequency Division Multiplexing System Based on Mobile Velocity and Subcarrier, Journal of Computer Science, (2010) 6(2): 194-198
Izz Eldin : Performance of Orthogonal Frequency Division Muiltiplexing (OFDM) under the effect of wireless transmission System Drawbacks, Sudan Engineering Society JOURNAL Vol. 52, no 49, (2007) p. 17-26 [5] M.
Adeyemo : ‘Performance of Binary Phase Shift keying(BPSK) and Quartenary Phase Shift Keying (QPSK) Signalling Schemes in Fast and Frequency Non- Selective Rayleigh fading channel with Decision Feedback Equalizer (DFE) at the Receiver’ Advanced Materials Research, Trans Tech Publications, Switzerland, vols.62-64, (2009) p.99-104

Palmour, Materials Science Forum, 1090, 93-100 (2023). [3] T.
Tung, Journal of Appl.
Arnold, Journal of Appl.
Schroder, Semiconductor materials and device characterization, 2nd edition, Wiley, (1998).

Methods: this paper using facade renovation project of Wismar University in Germany as the carrier, it uses Energy-Plus energy simulation software, CFD computational fluid dynamics software and U-wert.net calculation software for U value of material to get the simulation analysis of the energy, physical and regional eco-effect of building green facade.
The DesignBuilder software can equivalently simulate the vegetation stratum on the green facade into a kind of “insulation material” attached to the wall by setting the vegetation height, leaf area index, leaf reflectivity, leaf emissivity, and minimum stomatal resistance of greening layer, as well as its maximum moisture content, minimum moisture content and moisture content of early state in the saturation condition.
The construction and heat exchange coefficient, as well as materials’ thermal conductivity, absorptivity, density, specific heat capacity of the structure layer of the wall node is set.
References [1] Zhang Yang, Lv Haiping: Transformation and reuse design for the old Factory in the old port lands of wismar in Germany, Journal of Shenyang Jianzhu University（Social Science）, Vol. 12(2010), p419-423
[7] Tong Jialin: Living wall (Liaoning Science and Technology Press, Liaoning 2013).

The journals analyzed included those from Science direct, Scopus and Google scholars.
Journals adopted were those of English version.
The material properties such as porosity and density are also assumed to be uniform.
Asian Journal of Science and Applied Technology”, (2024). 13(2), 1–5
Global Journal of Environmental Science and Management”, 11(1), (2025). https://doi.org/10.22034/gjesm.2025.01.13 [68] Roy, M.

Li, et al. in: Karst ecological system biogeochemical process and material circulation research: importance, status and trends.
Earth science frontiers, Vol. 16 (2009), p. 1–11
Geographical Science, Vol. 14 (1994), p. 16–21
Journal of northeast forestry university, 2009, p. 54-57
Shandong Forestry Science and Technology, Vol. 2 (1999), p. 126