Critical applied stresses for a crack initiation from a sharp V-notch by L. Náhlík, P. Huta, K. Štegnerová

“…Critical value of the generalized stress intensity factor was obtained using stability criteria based on the opening stress component averaged over a critical distance d from the V-notch tip and generalized strain energy density factor. Calculated values of the critical applied stresses were compared with experimental data from the literature and applicability of the LEFM concept is discussed.…”
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Mathematical Modelling of B2C Consumer Product Supply Strategy Based on Nonessential Demand Pattern by Zhiyi Zhuo, Shuhong Chen, Hong Yan

“…Finally, by solving the mathematical model, the optimal production volume, the optimal commodity price, and the maximum profit that can be obtained by the manufacturer are obtained, and the correctness of the model is verified via numerical calculation. The study results explain the relationships among commodity costs, demand, and commodity pricing, which are significant for the study of consumer psychology and can further provide a beneficial reference for manufacturers in various industries.…”
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Economic evaluation framework for Industrial Symbiosis through network lenses: a systematic literature review by Maurizio Cisi, Roberta Napoli

“…The result is an innovative and detailed framework for IS economic feasibility analysis, including revenues and costs items, calculation methodologies and specific performance KPIs. …”
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Damage and failure of Orban’s gun during the bombardment of Constantinople walls in 1453 by Aristotle Kakaliagos, Nikolaos Ninis

“…The analysis has verified Orban’s gun muzzle velocity, cannonball trajectory and its effect on Constantinople Walls by successfully calculating the length of the breach in the wall, referred in historical reports, as well as the cannon ball penetration into soil. …”
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3D Modeling Method and Strength Analysis of ZC₁ Worm by Jin Xiaoma, Ji Weixi

“…Through the data processing of finite element calculation results,the load distribution among gear teeth,the distribution of the contact stress along the direction of the worm gear tooth and the comparison between the results of the finite element method and the empirical strength formula are analyzed. …”
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Comparison of the results obtained by Iman transform with Laplace transform by NIHAL OZDOGAN

“…Differential equations play an important role for modelling many problems in different scientific fields. Sometimes, the calculations to solve these equations can be very complex and ultimately frustrating. …”
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RESEARCH ON NUMERICAL SIMULATION METHOD OF THREAD CONNECTION BASED ON FINITE ELEMENT METHOD by JI FangFang, WANG YuBin, LIU Xia

“…The error between the results and the experimental results is within 8%, which is within the range of theoretical calculation. The validity of this method is proved.…”
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Analysis of the Torsional Vibration Modeling and Rigidity Excitation of K-H-V Cycloid Steel Ball Transmission by Kong Xia, Zhang Jielu, Cai Yunlong

“…At last,the natural frequency,the principal mode and the steady- state response of system are calculated. The results show that the cycloid steel ball transmission system is a parametric vibration system. …”
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Study on the Influence of Real Contact Ratio on Gear Meshing Stiffness and Dynamic Response by He Yumin, Hao Anbang

“…In order to research the influence of real contact ratio on meshing stiffness and gear dynamic response,the gear meshing assembly model is constructed via the 3 D modeling software SolidWorks,and the model is put into the transient module of FEA software ANSYS Workbench directly,the meshing stiffness under different work conditions is calculated by the Quasi-static method,the influence of real contact ratio on meshing stiffness is studied. …”
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Polaron Mass and Electron-Phonon Correlations in the Holstein Model by Marco Zoli

“…The effective mass is calculated to the second perturbative order in any lattice dimensionality for a broad range of (anti)adiabatic regimes and electron-phonon couplings. …”
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Numerical Characteristic of Gear System Attractor in Phase Space based on G-P Algorithm of Correlation Dimension by He Lin, Matthias Rätsch, Sanmin Wang, Guangshen Xu

“…In order to depict the numerical characteristic of the attractor structure in phase space for gear system effectively, a nonlinear dynamical spur gear transmission model including backlash and general transmission error is established, the calculation formula of equispaced gear system correlation dimension is deduced based on G-P algorithm. …”
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Predicting Pyrolysis Products of PE, PP, and PET Using NRTL Activity Coefficient Model by Seyed Mousa FakhrHoseini, Majid Dastanian

“…Results showed that polyethylene and polypropylene produced the maximum liquid product. Calculated RMSD objective function was 0.0157; that it is acceptable for this process.…”
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EFEKTIVITAS EKSTRAK ETANOL DAUN MAHONI (Swietenia mahagoni (L.) Jacq.) TERHADAP LARVA Aedes aegypti L. by Tisa Rizkika Nur Amelia

“…The value of LC50 and LC90 calculation showed that LC50 of ethanolic extract over second and third instar larvae respectively were 488 ppm and 644 ppm. …”
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Research of the Law and Control Method of Automatic Shift for Engineering Vehicle by Ying Chen

“…In order to reduce the fuel consumption rate of the engine and improve the efficiency of the transmission system, the optimal power shift path is calculated. The dynamic model of engineering vehicle transmission system is established and the dynamic shift strategy is simulated. …”
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Optimized Sample Adaptive Offset Filter in HEVC by N. Archana, R. Menaka, P. T. Vasanth Raj, G. Keerthivasan, N. Kumar

“…The previous existing technique employs 32 bands in band offset (BO) calculation to determine the proper offset value to minimize the distortion in the SAO estimate algorithm for statistics collection and parametric determination procedure. …”
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Influence of Tooth Profile Parameter of Double-circle-arc Flexspline on Conjugate Characteristic of Harmonic Gear Drive by Anfu Yuan, Shengfeng Qiu, Xukai Shi

“…In order to further optimize the double arc profile and improve the performance of the HD，based on the modified kinematic method exact conjugate theory，and using Matlab programming calculation，the influence and laws of the main parameters in the flexspline profile（FSP） on the conjugate zone and conjugate tooth profile are compared and analyzed. …”
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MAGNETICMEMORY TESTING OF METAL PIPE CRACK by LIU Jun, HUANG Chen, CHENG Shaowei, HE Xing

“…Based on the experiment,a calculation formula with good accuracy is suggested to determine the crack length and is proved by the experiment result.…”
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THEORETICAL STUDY ON THE CRASHWORTHINESS OF CORRUGATED TUBE by ZHANG Ping, MA Jian, NA JingXin

“…In view of the energy absorbing mechanism for axisymmetric deformation mode,a calculation formula for the mean crush load was put forward. …”
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Inverse scattering transform algorithm for the Manakov system by A.E. Chernyavsky, L.L. Frumin

“…Numerical tests carried out by comparing calculations with known exact analytical solutions confirm the stability and second order of accuracy of the proposed algorithm. …”
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Physical activity patterns among high school students of Ponta Grossa, PR by Eliane Bacil, Cassiano Rech, Adriano Hino

“…Logistic regression analysis was used to assess the association between different contexts of PA and the independent variables. Statistical calculations were developed by the SPSS 16.0 program and a significance level of p …”
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