Modeling of Shear Crack Propagation in Rock Masses Using Mesh-Free LRPIM by Qingbo Li, Nengxiong Xu, Weifeng Wan, Yazhe Li

“…Based on the idea of Goodman element, the elastic-plastic constitutive model of the shear cracks is derived, and the elastic-plastic analysis of shear crack propagation is realized in the local radial basis point interpolation method (LRPIM). This method avoids the loss of accuracy caused by the mesh in the analysis of fracture propagation, and the crack propagation of rock brittle material is simulated. …”
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Dynamic Simulation of Photothermal Environment in Solar Greenhouse Based on COMSOL Multiple Physical Fields by Huan Liu, Fankun Meng, Zhengnan Yan, Yuliang Shi, Subo Tian, Yanjie Yang, Xiaoye Li

“…The boundary conditions and initial values of the external environment and soil were derived from meteorological data and an efficient interpolation function method, with the time step updated every 1h. …”
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Direct Time Domain Numerical Analysis of Transient Behavior of a VLFS during Unsteady External Loads in Wave Condition by Yong Cheng, Gang-jun Zhai, Jin-ping Ou

“…In the analysis, the time domain free-surface Green functions with sufficient accuracy are rapidly evaluated in finite water depth by the interpolation-tabulation method, and the boundary integral equation with a quarter VLFS model is established taking advantage of symmetry of flow field and structure. …”
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Fuel Consumption Using OBD-II and Support Vector Machine Model by Tamer Abukhalil, Harbi AlMahafzah, Malek Alksasbeh, Bassam A. Y. Alqaralleh

“…The method which is composed of an SVM (support vector machine) classifier combined with Lagrange interpolation, is used to define the relationship between the two engine parameters and the overall fuel consumption. …”
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Secret sharing-based authentication and key agreement protocol for machine-type communications by Ana Paula G Lopes, Lucas O Hilgert, Paulo RL Gondim, Jaime Lloret

“…This article describes some protocols for the group-based authentication of devices/sensors in Internet of Things and presents a new group authentication protocol based on Shamir’s secret and Lagrange interpolation formula. The new protocol protects privacy, avoids unauthorized access to information, and assists in the prevention of attacks, as replay, distributed denial of service, and man-in-the-middle. …”
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Concept Modelling of Vehicle Joints and Beam-Like Structures through Dynamic FE-Based Methods by G. De Gaetano, D. Mundo, F. I. Cosco, C. Maletta, S. Donders

“…The joint reduction is improved through the application of a new interface beam-to-joint element, able to interpolate accurately the nodal displacements of the outer contour of the section, to obtain displacements and rotations of the central connection node. …”
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High-Efficiency Dynamic Modeling of a Helical Spring Element Based on the Geometrically Exact Beam Theory by Jian Zhang, Zhaohui Qi, Gang Wang, Shudong Guo

“…Unlike the traditional spliced curved beam element method, the helical spring element is described with curvature vector and axial strain by establishing and spline-interpolating a function of the radius, the height, the polar angle, and the torsion angle of the whole spring. …”
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Research of Fault Diagnosis Method of Multi Low Speed High-loaded Bearings Installed on Same Axis by Han Jiahua, Yan Wen, Cao Jinhua

“…Firstly,the spline interpolation algorithm is used to transform the acquired time domain nonstationary signal into the angular pseudo-stationary signal to realize the angular area resampling,extract the contact angle of rotation of bearing,and the vibration source recognition is completed. …”
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Robot welding trajectory optimization based on intersecting line welds by FAN Chenhui, LIU Huan, LIU Xuan, TANG Xiang

“…Secondly, a variable angle interpolation method was proposed to select the optimal torch end trajectory discrete points. …”
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A morfometria da bacia hidrográfica do rio Mimoso, um sistema cárstico do Mato Grosso do Sul/ Brasil by Rafael Brugnolli Medeiros, André Geraldo Berezuk, Charlei Aparecido da Silva

“…The study was determined the slope, horizontal dissection and vertical dissection of the BHRM. The interpolation of these morphometric components revealed the potential erosive energy of the relief, based on the methodological proposals of Spiridonov (1981) and Mendes (1993). …”
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Semi-Idealized Study on Estimation of Partly and Fully Space Varying Open Boundary Conditions for Tidal Models by Jicai Zhang, Haibo Chen

“…In the first strategy, the OBC is assumed to be partly space varying and generated by linearly interpolating the values at selected feature points. …”
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Monitoring and Analysis of Soil Moisture in Critical Growth Period of Summer Harvest Crops in Yongnian District by LAI Bin, DONG Sen, YANG Haiyan, HE Shuai, ZHOU Wei, SUN Congwu

“…In order to research the spatial-temporal change of soil moisture during the critical growth period of summer harvest crops in North China, this paper designs a high-frequency regional soil moisture monitoring experiment, implements the experiment from April 28 to May 21, 2019 in Yongnian District, Hebei, and analyzes the spatial change by Kriging interpolation method based on measured data. The results indicate that: The soil moisture in the eastern part is higher than that in the western part during the critical growth of regional summer harvest crops, the soil moisture of garlic planting area is higher than that of winter wheat; Moisture in 0~20 cm soil layer shows significant dynamic and porphyritic characteristics in time and space, while the moisture in 20~40 cm soil layer is highly similar to that of 40~60 cm soil layer in time and space; The irrigation time during critical growth period of summer harvest crops in Yongnian district is early May, and the regional soil moisture changes slowly after mid-May. …”
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Clustering analysis of Yue opera character tone trends based on quantum particle swarm optimization for fuzzy C-means. by Yuhang Zhang, Xiaofeng Wu, Jiawei Xu, Zihao Ning, Xiao Han

“…This study develops an innovative method for analyzing and clustering tonal trends in Chinese Yue Opera to identify different vocal styles accurately. Linear interpolation is applied to process the time series data of vocal melodies, addressing inconsistent feature dimensions. …”
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A New Mathematical Model for Food Thermal Process Prediction by Dario Friso

“…Because the mathematical model can be used to predict the intermediate values of any combination of inputs, avoiding the storage requirements and the interpolation of 57 Stumbo’s tables, it allows a quick and easy automation of thermal process calculations and to perform these calculations using a spreadsheet.…”
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Analysis of Extreme Precipitation Events in Ganjiang River Basin Since the Second Half of the 20th Century by ZOU Xiongyuan, LIU Yanping, WAN Dan, WU Xia, ZHENG Kang, ZHAO Junkai

“…Under the background of global warming,the frequency of local extreme precipitation events increases gradually.This paper selects six extreme precipitation indexes such the extreme precipitation threshold (EPT),extreme precipitation (R95),extreme precipitation days (RD95),extreme precipitation intensity (RI95),maximum precipitation for five consecutive days (RX5day) and maximum precipitation for one day (RX1day),and analyzes the extreme precipitation events in Ganjiang River Basin from 1964 to 2013 by percentile threshold method,M-K trend analysis method,sliding t test method and Kriging spatial interpolation method.The results show that:①The extreme precipitation index of most stations in Ganjiang River Basin shows non-significant upward trend;②The mutation time of extreme precipitation index of each station is mostly concentrated in the 1980s and 1990s,and a few stations have significant mutation (α=0.01);③Except for RD95,all the extreme precipitation indexes decrease from east to west,on the contrary,RD95 decreases from west to east.The research results can provide reference for flood control,disaster reduction and water resources development and utilization in Ganjiang River Basin.…”
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Evaluation and improvement of the vertical accuracy of the global open DEM under forest environment by Jiapeng Huang, Xiaozhu Yang

“…Finally, optimizing FABDEM based on the mathematical interpolation method using GEDI02_A reduces the RMSE from 8.46 m to 6.83 m. …”
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A Review Study of the Temperature and Salinity of Southern Iranian Waters in 2005 - 2012 Using WOA13 Data by Danial Ghaderi, Mostafa Solgi, Mehrnaz Farzin Gohar

“…Therefore, by selecting WOA13 historical data, which is the seasonal mean of temperature and salinity over the period 2005 to 2012, IDW interpolation maps of salinity and temperature at the surface, 5, 20 and 50 m were performed. …”
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An Effective Approach to Improving Low-Cost GPS Positioning Accuracy in Real-Time Navigation by Md. Rashedul Islam, Jong-Myon Kim

“…In addition, we compared the proposed approach with two other state-of-the-art methods: recursive averaging and ARMA interpolation. The experimental results show that the proposed approach outperforms other state-of-the-art methods in terms of positioning accuracy.…”
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A High Accuracy Spatial Reconstruction Method Based on Surface Theory for Regional Ionospheric TEC Prediction by Jian Wang, Yi‐ran Liu, Ya‐fei Shi

“…Compared with the Kriging interpolation with scale factor, the prediction accuracy of the HASR method is improved by 8.5%. …”
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Dynamics of revolving D-branes at short distances by Satoshi Iso, Noriaki Kitazawa, Hikaru Ohta, Takao Suyama

“…Abstract We study the behavior of the effective potential between revolving Dp-branes at all ranges of the distance r, interpolating r » ls and r « ls (ls is the string length). …”
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