Journal articles: 'The Newmark method'

1

Bradji, Abdallah, and Jürgen Fuhrmann. "Some new error estimates for finite element methods for second order hyperbolic equations using the Newmark method." Mathematica Bohemica 139, no. 2 (2014): 125–36. http://dx.doi.org/10.21136/mb.2014.143843.

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Cai, Xin Jiang, and Shi Zhu Tian. "Stability Analysis Research of Modified CD-Newmark Numerical Integral Method in Seismic Pseudo-Dynamic Test." Applied Mechanics and Materials 638-640 (September 2014): 1869–72. http://dx.doi.org/10.4028/www.scientific.net/amm.638-640.1869.

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The characteristics of explicit numerical integral method is without iteration, and the characteristics of inexplicit numerical integral method is unconditionally stable. The traditional CD-Newmark method has the shortcoming of the bigger upper frequency leads to a small time step, a modified combined integral method named MCD-Newmark release the fixed DOF of numerical substructure, then obtained the parameters range of stable condition of experimental substructure, and the unconditionally stable of numerical substructure is also researched,then the strict stability conditions of the traditional CD-Newmark algorithm is resolved. The study provides reference for structural seismic test.

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Markou, A. A., and G. D. Manolis. "Numerical Solutions for Nonlinear High Damping Rubber Bearing Isolators: Newmark’s Method with Netwon-Raphson Iteration Revisited." Journal of Theoretical and Applied Mechanics 48, no. 1 (March 1, 2018): 46–58. http://dx.doi.org/10.2478/jtam-2018-0004.

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AbstractNumerical methods for the solution of dynamical problems in engineering go back to 1950. The most famous and widely-used time stepping algorithm was developed by Newmark in 1959. In the present study, for the first time, the Newmark algorithm is developed for the case of the trilinear hysteretic model, a model that was used to describe the shear behaviour of high damping rubber bearings. This model is calibrated against free-vibration field tests implemented on a hybrid base isolated building, namely the Solarino project in Italy, as well as against laboratory experiments. A single-degree-of-freedom system is used to describe the behaviour of a low-rise building isolated with a hybrid system comprising high damping rubber bearings and low friction sliding bearings. The behaviour of the high damping rubber bearings is simulated by the trilinear hysteretic model, while the description of the behaviour of the low friction sliding bearings is modeled by a linear Coulomb friction model. In order to prove the effectiveness of the numerical method we compare the analytically solved trilinear hysteretic model calibrated from free-vibration field tests (Solarino project) against the same model solved with the Newmark method with Netwon-Raphson iteration. Almost perfect agreement is observed between the semi-analytical solution and the fully numerical solution with Newmark’s time integration algorithm. This will allow for extension of the trilinear mechanical models to bidirectional horizontal motion, to time-varying vertical loads, to multi-degree-of-freedom-systems, as well to generalized models connected in parallel, where only numerical solutions are possible.

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Khang, Nguyen Van, Lac Van Duong, and Pham Thanh Chung. "On two improved numerical algorithms for vibration analysis of systems involving fractional derivatives." Vietnam Journal of Mechanics 43, no. 2 (June 21, 2021): 171–82. http://dx.doi.org/10.15625/0866-7136/15758.

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Zhang and Shimizu (1998) proposed a numerical algorithm based on Newmark method to calculate the dynamic response of mechanical systems involving fractional derivatives. On the basis of Runge-Kutta-Nyström method and Newmark method, the present study proposes two new numerical algorithms, namely, the improved Newmark algorithm using the second order derivative and the improved Runge-Kutta-Nyström algorithm using the second order derivative to solve the fractional differential equations of vibration systems. The accuracy of new algorithms is investigated in detail by numerical simulation. The simulation result demonstrated that the Runge-Kutta-Nyström algorithm using the second order derivative for the vibration analysis of systems involving fractional derivatives is more effective than the Newmark algorithm of Zhang and Shimizu.

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Choi, Hongjin, Jeahoon Cho, Yong Bae Park, and Kyung-Young Jung. "Newmark-FDTD Formulation for Modified Lorentz Dispersive Medium and Its Equivalence to Auxiliary Differential Equation-FDTD with Bilinear Transformation." International Journal of Antennas and Propagation 2019 (June 20, 2019): 1–7. http://dx.doi.org/10.1155/2019/4173017.

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The finite-difference time-domain (FDTD) method has been popularly utilized to analyze the electromagnetic (EM) wave propagation in dispersive media. Various dispersion models were introduced to consider the frequency-dependent permittivity, including Debye, Drude, Lorentz, quadratic complex rational function, complex-conjugate pole-residue, and critical point models. The Newmark-FDTD method was recently proposed for the EM analysis of dispersive media and it was shown that the proposed Newmark-FDTD method can give higher stability and better accuracy compared to the conventional auxiliary differential equation- (ADE-) FDTD method. In this work, we extend the Newmark-FDTD method to modified Lorentz medium, which can simply unify aforementioned dispersion models. Moreover, it is found that the ADE-FDTD formulation based on the bilinear transformation is exactly the same as the Newmark-FDTD formulation which can have higher stability and better accuracy compared to the conventional ADE-FDTD. Numerical stability, numerical permittivity, and numerical examples are employed to validate our work.

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Ding, Daohong, Qing Zhang, Fuzhang Wang, and Lingyan Luo. "Combination of Newmark method and natural element method for elastodynamics." Journal of the Chinese Institute of Engineers 35, no. 7 (October 2012): 869–77. http://dx.doi.org/10.1080/02533839.2012.708537.

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Cui, Yulong, Aijuan Liu, Chong Xu, and Jun Zheng. "A Modified Newmark Method for Calculating Permanent Displacement of Seismic Slope considering Dynamic Critical Acceleration." Advances in Civil Engineering 2019 (September 15, 2019): 1–10. http://dx.doi.org/10.1155/2019/9782515.

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Newmark permanent displacement is an important index for evaluating seismic slope stability, which has been widely used in recent years. The traditional Newmark sliding method assumes that the critical acceleration is constant but does not consider the inhomogeneity and dynamic reduction process of shear strength on the sliding surface, presumably leading to underestimation of the permanent displacement. In this paper, this problem is analyzed, and a new method for calculating permanent displacement of seismic slope considering dynamic critical acceleration is proposed, in which the Monte Carlo simulation is used. Example calculations indicate that this approach permits to show the dropping cohesion and the dynamic critical acceleration of the slide block during the earthquake time history. The improved method for calculating seismic slope permanent displacement presented in this paper solves the problem that the calculated value from the Newmark sliding method is smaller than the real value and is a useful improvement.

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Sheng, Gang, and Bo Liu. "Modified Newmark method for head-disk interface dynamics." Computers & Structures 66, no. 2-3 (January 1998): 145–54. http://dx.doi.org/10.1016/s0045-7949(97)00090-4.

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Nakahira, N., K. Ozawa, and M. Naruoka. "Vibration of plane trusses by the Newmark method." Computers & Structures 37, no. 4 (January 1990): 515–20. http://dx.doi.org/10.1016/0045-7949(90)90040-9.

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10

ROY, D., and M. K. DASH. "A STOCHASTIC NEWMARK METHOD FOR ENGINEERING DYNAMICAL SYSTEMS." Journal of Sound and Vibration 249, no. 1 (January 2002): 83–100. http://dx.doi.org/10.1006/jsvi.2001.3854.

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Chang, S. Y., Y. C. Huang, and C. H. Wang. "Analysis of Newmark Explicit Integration Method for Nonlinear Systems." Journal of Mechanics 22, no. 4 (December 2006): 321–29. http://dx.doi.org/10.1017/s1727719100000976.

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AbstractNumerical properties of the Newmark explicit method in the solution of nonlinear systems are explored. It is found that the upper stability limit is no longer equal to 2 for the Newmark explicit method for nonlinear systems. In fact, it is enlarged for stiffness softening and is reduced for stiffness hardening. Furthermore, its relative period error increases with the increase of the step degree of nonlinearity for a given value of the product of the natural frequency and the time step. It is also verified that the viscous damping determined from an initial stiffness is effective to reduce displacement response in the solution of a nonlinear system as that for solving a linear elastic system. All the theoretical results are confirmed with numerical examples.

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Wang, Ru-Gui, Gan-Wei Cai, and Xiao-Rong Zhou. "An Evolutionary Analytic Method of Multi-DOF Nonlinear Coupling Dynamic Model for Controllable Close-Chain Linkage Mechanism System." Mathematical Problems in Engineering 2011 (2011): 1–17. http://dx.doi.org/10.1155/2011/254547.

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The 2-DOF controllable close-chain linkage mechanism is investigated in this paper. Based on the characteristics of the multi-DOF nonlinear coupling dynamic equation of the system established by the finite element method, an analytic method of multiple-scales Newmark is presented after thinking about the method of perturbation and the method of numerical analysis. Firstly, the first-order approximate solution of the dynamic responses of the system at the time of t is calculated by the multiple scales method. Then, taken the first-order approximate solution as the initialization of the generalized coordinate of the system, the stable dynamic response of the system is obtained by the implicit Newmark method. The simulation and experimental results are given in the end. The studies indicate that the method of multiple-scales Newmark is correct and practicable to study the dynamic characteristics of such kind of multi-DOF nonlinear coupling system.

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13

Zang, Mingdong, Shengwen Qi, Yu Zou, Zhuping Sheng, and Blanca S. Zamora. "An improved method of Newmark analysis for mapping hazards of coseismic landslides." Natural Hazards and Earth System Sciences 20, no. 3 (March 4, 2020): 713–26. http://dx.doi.org/10.5194/nhess-20-713-2020.

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Abstract. Coseismic landslides can destroy buildings, dislocate roads, sever pipelines, and cause heavy casualties. It is thus important but challenging to accurately map the hazards posed by coseismic landslides. Newmark's method is widely applied to assess the permanent displacement along a potential slide surface and model the coseismic response of slopes. This paper proposes an improved Newmark analysis for mapping the hazards of coseismic landslides by considering the roughness and effect of the size of the potential slide surfaces. This method is verified by data from a case study on the 2014 Mw 6.1 (the United States Geological Survey) Ludian earthquake in Yunnan Province, China. Permanent displacements due to the earthquake ranged from 0 to 122 cm. The predicted displacements were compared with a comprehensive inventory of landslides triggered by the Ludian earthquake to map the spatial variation in the hazards of coseismic landslides using the certainty factor model. The confidence levels of coseismic landslides indicated by the certainty factors ranged from −1 to 0.95. A hazard map of the coseismic landslide was generated based on the spatial distribution of values of the certainty factor. A regression curve relating the predicted displacement and the certainty factor was drawn, and can be applied to predict the hazards of coseismic landslides for any seismic scenario of interest. The area under the curve was used to compare the improved and the conventional Newmark analyses, and revealed the improved performance of the former. This mapping procedure can be used to predict the hazards posed by coseismic landslides, and provide guidelines for decisions regarding the development of infrastructure and post-earthquake reconstruction.

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14

Larasaty, Gina. "The Translation Procedure in Children Novel – Spiderwick Chronicle." Wiralodra English Journal 3, no. 1 (June 25, 2019): 239–43. http://dx.doi.org/10.31943/wej.v3i1.40.

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This research aims to find translation procedures from English to Indonesian which are used in translating Spiderwick Chronicles novel. The translator translates from source language (English) to target language (Indonesia). The researcher used the descriptive qualitative method to analyze the data, relates to the aim of this research is to find out the categories of translation procedure in Spiderwick Chronicle Novel. The researcher used the translation procedure (Newmark, 1988:82-91) framework by Peter Newmark for examining the data. Based on the result from the analysis showed that the total number Newmark’s translation procedure applied in Spiderwick Novel is 59 . The most translation procedure applied is shift or transposition with 20 (33,9%), and the least of translation procedure applied are Cultural equivalent , synonymy and functional equivalent with the total frequency 1 (1,7%). The translator used modulations as the second most translation procedure applied in the Spiderwick novel with 14 (23,7%). .

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15

Yang, Yanxin, Junhua Chen, Zhenqiang Zhang, and Jianlin Ma. "Evaluating Lateral Spreading Using Newmark Method Based on Liquefaction Triggering." Advances in Civil Engineering 2020 (December 23, 2020): 1–17. http://dx.doi.org/10.1155/2020/8406062.

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The prediction of liquefaction-induced lateral spreading is an important geotechnical engineering problem. In this paper, a simplified prediction method based upon Newmark sliding block analysis was proposed to predict the liquefaction-induced lateral spreading. The acceleration time history beneath the liquefied soil (starting from the triggering time of liquefaction) and the postliquefaction yield acceleration corresponding with the residual shear strength of liquefiable soil were used in the Newmark sliding block analysis. One-dimensional effective stress analysis was conducted to obtain the motion beneath the liquefied soil and the liquefaction time. Limit equilibrium analysis was employed to determine the postliquefaction yield acceleration using the residual shear strength of liquefied soil, which correlated with the equivalent clean sand SPT blow count of the liquefied sand. This method was evaluated against five well-documented case histories and the predicted displacements of lateral spreading were subsequently compared with the observed displacements. In addition, the lateral spreading predicted by the rigorous Newmark sliding block method and numerical difference analysis was presented. Based on the statistical analysis of the displacement ratios, it suggested that the method proposed in this paper identified the triggering time of liquefaction and provided a reasonable prediction of the liquefaction-induced lateral spreading with an RMSE (root mean square error) of 0.63, a standard deviation of 0.40, and a CV (coefficient of variance) of 0.60, respectively.

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Yao, Hongliang, Qian Zhao, Qi Xu, and Bangchun Wen. "Comparison of Common Methods in Dynamic Response Predictions of Rotor Systems with Malfunctions." International Journal of Rotating Machinery 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/126843.

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The efficiency and accuracy of common time and frequency domain methods that are used to simulate the response of a rotor system with malfunctions are compared and analyzed. The Newmark method and the incremental harmonic balance method are selected as typical representatives of time and frequency domain methods, respectively. To improve the simulation efficiency, the fixed interface component mode synthesis approach is combined with the Newmark method and the receptance approach is combined with the incremental harmonic balance method. Numerical simulations are performed for rotor systems with single and double frequency excitations. The inherent characteristic that determines the efficiency of the two methods is analyzed. The results of the analysis indicated that frequency domain methods are suitable single and double frequency excitation rotor systems, whereas time domain methods are more suitable for multifrequency excitation rotor systems.

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Zhang, Yu-Qiang, and Peng-Ju Yang. "An Extended Newmark-FDTD Method for Complex Dispersive Media." International Journal of Antennas and Propagation 2018 (2018): 1–7. http://dx.doi.org/10.1155/2018/1573512.

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Based on polarizability in the form of a complex quadratic rational function, a novel finite-difference time-domain (FDTD) approach combined with the Newmark algorithm is presented for dealing with a complex dispersive medium. In this paper, the time-stepping equation of the polarization vector is derived by applying simultaneously the Newmark algorithm to the two sides of a second-order time-domain differential equation obtained from the relation between the polarization vector and electric field intensity in the frequency domain by the inverse Fourier transform. Then, its accuracy and stability are discussed from the two aspects of theoretical analysis and numerical computation. It is observed that this method possesses the advantages of high accuracy, high stability, and a wide application scope and can thus be applied to the treatment of many complex dispersion models, including the complex conjugate pole residue model, critical point model, modified Lorentz model, and complex quadratic rational function.

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Pan, Yu Jie, Zhong Rong Lv, and Ji Ke Liu. "Wind-Induced Vibration Response Analysis of a High-Rise Structure." Applied Mechanics and Materials 94-96 (September 2011): 999–1002. http://dx.doi.org/10.4028/www.scientific.net/amm.94-96.999.

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Autoregressive (AR) method can provide a simulation of random process with relatively short computational time and acceptable accuracy while Newmark-β Method is a quick way to accomplish the response analysis. Therefore in this paper, the combination of these two methods will solve the problem of wind-induced response analysis quickly and precisely. According to several theories, such as wind engineering, vibration theory and random process, we succeed to model 37-dimensional correlated random wind velocity and it is used for the response analysis. Then we utilize Newmark-β method to analyze successfully and the key results demonstrate that Guangzhou New TV Tower does not satisfy the requirements in the building code of China thus vibration control is needed.

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Mantilla, Irla, and Jonathan Munguia. "CONSTRUCCIÓN DE MAPAS DE RUIDO CON ELEMENTOS FINITOS Y NEWMARK." Revista Cientifica TECNIA 22, no. 2 (April 4, 2017): 35. http://dx.doi.org/10.21754/tecnia.v22i2.80.

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En el presente trabajo se construye un modelo matemático para la construcción de Mapas de Ruido basado en Ecuaciones Variacionales Hiperbólicas (EVP), el cual, se obtiene de la formulación débil del problema de Contorno y Condiciones iniciales de Cauchy asociadas a Ecuaciones Diferenciales en Derivadas Parciales de tipo Hiperbólico. Para garantizar la simulación numérica del problema de propagación de la fuente de ruido se obtiene su formulación variacional en espacios de tipo Sobolev evolutivos, así se prueba la existencia y unicidad de solución del problema variacional, luego para resolver el problema se aplica el método de Galerkin con Elementos Finitos para la discretización espacial y el método de Newmark para la discretización temporal. En este trabajo se innova la técnica de preparación de la base de datos y la experimentación computacional con Matlab, obteniendo finalmente eficazmente la solución como se muestra en la convergencia del esquema numérico. Palabras clave.- Mapas de ruido, Método de Galerkin, Elementos finitos, Método de Newmark. ABSTRACTThis article uses the weak formulation of the problems Partial Hyperbolic type (VPE) for construction noise maps with finite element and Newmark in two-dimensional space. To ensure the numerical simulation of the problem of propagation of the noise source, so that proves the existence and uniqueness of the variational problem in Sobolev spaces evolutionary and applied the finite element method and method Galerkin for spatial discretization and Newmark method for the time discretization. In this work, the innovative technique of preparation of the data base and computational experimentation whit Mathlab, finally obtaining effectively the solution as shown in the convergence of the numerical scheme. Keywords.- Noise maps, Galerkin method, Finite elements, Newmark method.

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Kokusho, Takaji. "Energy-Based Newmark Method for earthquake-induced slope displacements." Soil Dynamics and Earthquake Engineering 121 (June 2019): 121–34. http://dx.doi.org/10.1016/j.soildyn.2019.02.027.

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Bradford, M. A., and N. Abdoli Yazdi. "A Newmark-based method for the stability of columns." Computers & Structures 71, no. 6 (June 1999): 689–700. http://dx.doi.org/10.1016/s0045-7949(98)00219-3.

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Chang, S. Y. "Accurate Integration of Nonlinear Systems Using Newmark Explicit Method." Journal of Mechanics 25, no. 3 (September 2009): 289–97. http://dx.doi.org/10.1017/s1727719100002744.

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AbstractIn the step-by-step solution of a linear elastic system, an appropriate time step can be selected based on analytical evaluation resultsHowever, there is no way to select an appropriate time step for accurate integration of a nonlinear system. In this study, numerical properties of the Newmark explicit method are analytically evaluated after introducing the instantaneous degree of nonlinearity. It is found that the upper stability limit is equal to 2 only for a linear elastic system. In general, it reduces for instantaneous stiffness hardening and it is enlarged for instantaneous stiffness softening. Furthermore, the absolute relative period error increases with the increase of instantaneous degree of nonlinearity for a given product of the natural frequency and the time step. The rough guidelines for accurate integration of a nonlinear system are also proposed in this paper based on the analytical evaluation results. Analytical evaluation results and the feasibility of the rough guidelines proposed for accurate integration of a nonlinear system are confirmed with numerical examples.

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Deuflhard, Peter, Rolf Krause, and Susanne Ertel. "A contact-stabilized Newmark method for dynamical contact problems." International Journal for Numerical Methods in Engineering 73, no. 9 (2008): 1274–90. http://dx.doi.org/10.1002/nme.2119.

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Chang, Shuenn-Yih. "Accuracy Evaluation of Newmark Method Referring to Theoretical Solutions." Journal of Earthquake Engineering 12, no. 1 (January 3, 2008): 1–16. http://dx.doi.org/10.1080/13632460701299088.

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Pasetto, Marco, Haim Waisman, and J. S. Chen. "A waveform relaxation Newmark method for structural dynamics problems." Computational Mechanics 63, no. 6 (November 1, 2018): 1223–42. http://dx.doi.org/10.1007/s00466-018-1646-x.

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Klapproth, Corinna, Anton Schiela, and Peter Deuflhard. "Adaptive timestep control for the contact-stabilized Newmark method." Numerische Mathematik 119, no. 1 (March 15, 2011): 49–81. http://dx.doi.org/10.1007/s00211-011-0374-3.

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Chen, Benlan. "Analysis of shock calculation based on Newmark integral method." Journal of Physics: Conference Series 1883, no. 1 (April 1, 2021): 012056. http://dx.doi.org/10.1088/1742-6596/1883/1/012056.

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DJEMAL, FATHI, FAKHER CHAARI, JEAN LUC DION, FRANCK RENAUD, IMAD TAWFIQ, and MOHAMED HADDAR. "ASYMPTOTIC NUMERICAL METHOD FOR THE DYNAMIC STUDY OF NONLINEAR VIBRATION ABSORBERS." International Journal of Applied Mechanics 06, no. 05 (October 2014): 1450053. http://dx.doi.org/10.1142/s1758825114500537.

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Vibrations are usually undesired phenomena as they may cause discomfort, disturbance, damage, and sometimes destruction of machines and structures. It must be reduced or controlled or eliminated. One of the most common methods of vibration control is the use of the dynamic absorber. The paper is interested in the study of a nonlinear two degrees of freedom (DOF) model. To solve nonlinear equation of motion a high order implicit algorithm is proposed. It is based on the introduction of a homotopy, an implicit scheme of Newmark and the use of techniques of Asymptotic Numerical method (ANM). We propose also a regularization of the contact force to overcome the difficulty of the singularity in this model. A comparison will be presented between the results obtained by the proposed algorithm and those using the classical Newton–Raphson and Newmark time scheme.

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Cai, Z., and R. J. Bathurst. "Seismic-induced permanent displacement of geosynthetic-reinforced segmental retaining walls." Canadian Geotechnical Journal 33, no. 6 (December 1, 1996): 937–55. http://dx.doi.org/10.1139/t96-123.

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This paper describes the application of conventional displacement methods to estimate seismic-induced permanent displacements of geosynthetic-reinforced segmental retaining walls constructed on firm foundations. Permanent displacements associated with three sliding mechanisms are investigated: (1) external sliding along the base of the total wall structure; (2) internal sliding along a reinforcement layer and through the facing column; and (3) block interface shear between facing column units. A pseudostatic method based on the Mononobe-Okabe earth pressure theory is used to determine the value of critical acceleration associated with each potential failure mechanism. Newmark's sliding block displacement method and a number of emperical methods are briefly summarized and can be used to estimate the permanent displacements of segmental retaining walls. An example is given to illustrate the application of the methods presented. Key words: segmental retaining walls, geosynthetics, seismic, Newmark, sliding block, displacement methods.

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ZHANG, RONGXIN, GUOLIANG QIN, and CHANGYUN ZHU. "SPECTRAL ELEMENT METHOD FOR ACOUSTIC PROPAGATION PROBLEMS BASED ON LINEARIZED EULER EQUATIONS." Journal of Computational Acoustics 17, no. 04 (December 2009): 383–402. http://dx.doi.org/10.1142/s0218396x09004014.

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A Chebyshev spectral element approximation of acoustic propagation problems based on linearized Euler equations is introduced, and the numerical approach is based on spectral elements in space with first-order Clayton–Engquist–Majda absorbing boundary conditions and implicit Newmark method in time. An initial perturbation problem has been solved to test the accuracy and stability of the numerical method. Then the sound propagation by source terms is also studied, including the radiation of a monopole and dipolar source in both stationary medium and uniform mean flow. The numerical simulation leads to good results in both accuracy and stability. Compared with the analytical solutions, the numerical results show the advantages in spectral accuracy even with relatively fewer grid points. Moreover, the implicit Newmark method in time marching also presents its superiority in stability. Finally, a problem of sound propagation in pipes is simulated as well.

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Lestari, Ni Putu Devi, I. Made Winaya, and I. Gst Ayu Gede Sosiowati. "Translation Procedures in Translating Proper Names from English into Indonesian." Humanis 24, no. 4 (November 23, 2020): 386. http://dx.doi.org/10.24843/jh.2020.v24.i04.p06.

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Translation procedure is a procedure or a method to translate the unit of language from the source language to the target language. Every linguistic part needs to be translated. It means including the proper names in the literary work. This study is aimed at identifying and analyzing the types of the proper name and their translation procedures in the novel entitled Pembunuhan di Orient Express. The problems in this study are discussed based on the theory of proper name and the theory of the translation procedure by Newmark (1988). The method used to collect the data was documentation method. This study applied the descriptive qualitative method in analyzing the data. The result of the analysis was presented using an informal method. The analysis showed three types of proper names in the data sources. They are people’s names, the name of an object, and the geographical term. The translator uses seven methods from 18 translation procedures that were proposed by Newmark (1988).

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Qin, Ya Zhou, Jian Cong Xu, and Ding Wang. "Numerical Simulation of Subway Train Vertical Random Vibration Load in Time Domain." Advanced Materials Research 433-440 (January 2012): 68–73. http://dx.doi.org/10.4028/www.scientific.net/amr.433-440.68.

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It is of importance to identify the subway train random vibration load correctly. On the basis of the in-situ dynamic response measurement, the deterministic data for vertical acceleration of rail were obtained. The problem of identifying the random vibration load of subway train was solved in Matlab, according to the simplified vibration model of vehicle system, and in Newmark-β method. Then the time curve and the amplitude spectrum curve of the vertical random vibration train load were obtained. Compared with Fast Fourier Transform method, Newmark-β method is more simple and practical to simulate the train vertical random vibration load directly in the time domain.

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Yuchuan, Fan, Chunyu Zhao, Yu Hongye, and Bangchun Wen. "Dynamic load identification algorithm based on Newmark-β and self-filtering." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 1 (September 12, 2019): 96–107. http://dx.doi.org/10.1177/0954406219869981.

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In this paper, a dynamic load identification iteration algorithm based on Newmark -β is proposed. Aiming at the problem of excessive iteration error in the process of calculation, a self-filtering algorithm is proposed and added to the load identification algorithm. After adding the self-filtering algorithm, the recognition accuracy of the algorithm has been improved significantly. The recognition result of the proposed method and explicit Newmark- β method is compared by simulations and experiment. The results show that the recognition precision and calculation efficiency of this algorithm are higher, especially in the aspect of calculation efficiency, the proposed method has obvious advantages. Under the same conditions, the proposed method can save a lot of computation time.

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Veylon, G., L. H. Luu, S. Mercklé, P. Y. Bard, A. Delvallée, C. Carvajal, and B. Frigo. "A simplified method for estimating Newmark displacements of mountain reservoirs." Soil Dynamics and Earthquake Engineering 100 (September 2017): 518–28. http://dx.doi.org/10.1016/j.soildyn.2017.07.003.

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Chang, Shuenn-Yih. "A technique for overcoming load discontinuity in using Newmark method." Journal of Sound and Vibration 304, no. 3-5 (July 2007): 556–69. http://dx.doi.org/10.1016/j.jsv.2007.03.032.

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Warburton, G. B. "Assessment of errors in the newmark method in structural dynamics." Earthquake Engineering & Structural Dynamics 19, no. 3 (1990): 457–67. http://dx.doi.org/10.1002/eqe.4290190311.

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Polita, P. "Blast response in concrete beam with nanoparticles utilising Newmark method." International Journal of Hydromechatronics 2, no. 1 (2019): 77. http://dx.doi.org/10.1504/ijhm.2019.098952.

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Polita, P. "Blast response in concrete beam with nanoparticles utilizing Newmark method." International Journal of Hydromechatronics 2, no. 1 (2019): 1. http://dx.doi.org/10.1504/ijhm.2019.10020132.

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Akbari, Jalal, Leila Nazari, and Samaneh Mirzaei. "Vibration Response Evaluation under Shock-Type Loading with Emphasis on Finite Element Model Updating." Shock and Vibration 2020 (September 15, 2020): 1–13. http://dx.doi.org/10.1155/2020/8861827.

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In some cases, impulse- or shock-type excitations as the dynamic loading are inevitable, and obtaining proper response with the well-known numerical methods is not easy. This paper focuses on dynamic response estimation against short-time loading with an updated finite element model using frequency response functions (FRF) and particle swarm optimization (PSO) technique. Because there is not an analytical method for assessing the numerical responses under shock-type excitations, in this paper, experimental tests are designed on a laboratory scale to evaluate the numerical responses. The vibration responses of the system against shock loading are compared with the Newmark average acceleration scheme and also with experimental data. The results reveal that the unconditionally stable Newmark method against regular loads has an appropriate performance. Still, under short-time loading, it faces numerical damping error, and this method should not be blindly applied under shock-type loads.

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Shabitah, Wulan, and Rudi Hartono. "The Use of Newmark’s Translation Methods in Translating Forman’s Novel 'I Was Here' from English into Indonesian." Rainbow: Journal of Literature, Linguistics and Cultural Studies 9, no. 1 (April 30, 2020): 63–75. http://dx.doi.org/10.15294/rainbow.v9i1.37864.

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This research is aimed to find out and describe the use of Newmark’s translation methods in translating Gayle Forman’s novel I Was Here from English into Indonesian. Qualitative approach is applied because the data of this research are in the form of words, phrases, and sentences. The data of this research are taken from Gayle Forman’s novel I Was Here and its Indonesian translation by Poppy D. Chusfani. There are 1629 dialogue sentences data taken from the novel. In this research, the researcher collects and analyzes the data through examining documents. The data are collected by marking the dialogue sentences in both novels and put them into a table of observation. In doing the analysis, the researcher compares the dialogue sentences in both novels. The analysis of the translation methods is based on Pieter Newmark’s classification of translation methods. The findings of the research show that there are seven out of eight translation methods proposed by Newmark used. They are word-for-word translation method, literal translation method, faithful translation method, semantic translation method, free translation method, idiomatic translation method, and communicative translation method. Based on the frequency of the translation method used in translating the dialogue sentences of the novel which is free translation method shows that the translator wants to make the content and language of the translated text are acceptable and understandable for the target language (Indonesian) readers. Keywords: dialogue sentences, I Was Here, novel, translation methods

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Hidayat, Arif, and Danang Dwi Harmoko. "Translation Methods and Procedures in Bilingual Storybooks." Scope : Journal of English Language Teaching 2, no. 02 (March 3, 2018): 112. http://dx.doi.org/10.30998/scope.v2i02.2414.

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ABSTRACTThis research is aimed at finding the procedures and method of three bilingual storybooks. The research method used is descriptive qualitative with content analysis. Based on the theory of Newmark about translation method and procedures, it is found that the frequently used procedures are literal, modulation, shift, addition and reduction. The translation on the first book indicated that the translator uses shift modulation, couplet, cultural equivalent, addition. In the second book, the procedures used are literal, addition, modulation, reduction, transference, expansion and couplet. Whilst, in the third book, there couplet, literal, addition, reduction, modulation, cultural equivalent, shift, synonymy, expansion procedures are found. On the other hand, the most dominant procedure used is literal and the translation method used is semantic translation. The method shows the translation orientation of the translators.Keywords: Translation procedures, translation method, Newmark, bilingual storybooks

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Hayat Khiy, M. Sikander. "Implementation of Newmark`s Method for Second Order Initial Value Problems." Journal of Applied Sciences 5, no. 3 (February 15, 2005): 402–10. http://dx.doi.org/10.3923/jas.2005.402.410.

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Sheng, YiJun, XiaoDong Ye, Gui Wang, and TianYu Lu. "Stability-Improved Spectral-Element Time-Domain Method Based on Newmark-$\beta$." IEEE Microwave and Wireless Components Letters 29, no. 4 (April 2019): 243–45. http://dx.doi.org/10.1109/lmwc.2019.2900842.

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Shi, Sheng-Bing, Wei Shao, Tu-Lu Liang, Li-Ye Xiao, Xue-Song Yang, and Haiyan Ou. "Efficient Frequency-Dependent Newmark-Beta-FDTD Method for Periodic Grating Calculation." IEEE Photonics Journal 8, no. 6 (December 2016): 1–9. http://dx.doi.org/10.1109/jphot.2016.2625816.

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Chang, Shuenn‐Yih. "Studies of Newmark method for solving nonlinear systems: (I) basic analysis." Journal of the Chinese Institute of Engineers 27, no. 5 (July 2004): 651–62. http://dx.doi.org/10.1080/02533839.2004.9670913.

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Klapproth, Corinna. "The contact-stabilized Newmark method: consistency error of a spatiotemporal discretization." Numerische Mathematik 131, no. 1 (December 17, 2014): 59–82. http://dx.doi.org/10.1007/s00211-014-0686-1.

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Hilali, Youssef, Bouazza Braikat, Hassane Lahmam, and Noureddine Damil. "An implicit algorithm for the dynamic study of nonlinear vibration of spur gear system with backlash." Mechanics & Industry 19, no. 3 (2018): 310. http://dx.doi.org/10.1051/meca/2017006.

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In this work, we propose some regularization techniques to adapt the implicit high order algorithm based on the coupling of the asymptotic numerical methods (ANM) (Cochelin et al., Méthode Asymptotique Numérique, Hermès-Lavoisier, Paris, 2007; Mottaqui et al., Comput. Methods Appl. Mech. Eng. 199 (2010) 1701–1709; Mottaqui et al., Math. Model. Nat. Phenom. 5 (2010) 16–22) and the implicit Newmark scheme for solving the non-linear problem of dynamic model of a two-stage spur gear system with backlash. The regularization technique is used to overcome the numerical difficulties of singularities existing in the considered problem as in the contact problems (Abichou et al., Comput. Methods Appl. Mech. Eng. 191 (2002) 5795–5810; Aggoune et al., J. Comput. Appl. Math. 168 (2004) 1–9). This algorithm combines a time discretization technique, a homotopy method, Taylor series expansions technique and a continuation method. The performance and effectiveness of this algorithm will be illustrated on two examples of one-stage and two-stage gears with spur teeth. The obtained results are compared with those obtained by the Newton–Raphson method coupled with the implicit Newmark scheme.

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Liu, Zhansheng, Senlin Huang, and Jiexian Su. "Nonlinear Dynamic Analysis of an Unsymmetrical Generator-Bearing System." Journal of Vibration and Acoustics 129, no. 4 (January 23, 2007): 448–57. http://dx.doi.org/10.1115/1.2731407.

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Considering both nonlinear oil film force and unsymmetrical stiffness, this paper presents a mechanical model of a generator-bearing system. The complex mode synthesis method is used to reduce the linear degrees of freedom of the high order model in the rotating coordinates, and one-order modal differential equations are obtained which may not be solved directly by Newmark-β method. To solve this problem, a modified Newmark-β method is presented to investigate dynamic effects of the asymmetry of rotor stiffness, the viscosity of oil, the rotor unbalance and the ratio of length to diameter of bearings. Three-dimension diagrams and unfiltered vibration curves are used as tools to examine the dynamic behavior of the system, and some insights into the dynamic behavior are given. Numerical results show that instability of the system may be improved by modifying these parameters.

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Li, Hongjun, Hong Zhong, Zuwen Yan, and Jianming Zhao. "A Modified Newmark Methodology for Permanent Deformation Analysis of Rock-Fill Dams." Advances in Civil Engineering 2018 (2018): 1–10. http://dx.doi.org/10.1155/2018/3129471.

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Newmark sliding block approach has been extensively studied by many researchers in the past decades. Significant progress has been made to alleviate its deficiencies and overcome its simplifying assumptions, but some aspects such as the cyclic shear strength and time history vertical acceleration in the Newmark sliding displacement analysis are seldom considered strictly. In the presented research, a modified Newmark methodology for sliding deformation analysis of rock-fill dams subjected to strong earthquake is proposed. In order to make the seismic safety evaluation of dams more realistic, the influence of cyclic shear strength (earthquake-induced reduction of shear strength) and time history vertical acceleration obtained from the dynamic response analysis on the critical acceleration and accumulative sliding displacement of the flexible sliding body is considered. Detailed comparison between the proposed method and existing methods is performed via the analysis of two typical dams, that is, a virtual rock-fill dam with a height of 100 m which is assumed to be situated on rock formation and a real core rock-fill dam with a height of 150 m built on deep overburden layers. It is demonstrated that the cyclic shear strength and time history vertical acceleration within flexible sliding body, as highlighted in the proposed method, have significant effect on the seismic safety evaluation, critical acceleration, and accumulation of sliding deformation of rock-fill dams subjected to strong earthquake loading. The existing approaches tend to provide unconservative evaluation on the consequences of earthquakes on rock-fill dams.

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Yang, Chao, Duo Li, Tao Zhu, and Shoune Xiao. "Assessment of numerical integration algorithms for nonlinear vibration of railway vehicles." Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 231, no. 6 (March 31, 2016): 729–39. http://dx.doi.org/10.1177/0954409716640825.

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The primary purpose of this paper was to choose appropriate time integration methods for the simulation of nonlinear railway vehicle systems. The nonlinear elements existing in railway vehicle systems were summarized, and the relevant mathematical expressions were provided. A newly developed integration method, which is the corrected explicit method of double time steps, was implemented in five typical nonlinear examples of nonlinear railway vehicle systems. The Newmark method, the Wilson-θ method, the Runge–Kutta method, the predictor-corrector Adams method, the Zhai method, and the precise integration method were also employed for comparison purpose. Finally, the scope of application of these methods was pointed out . The results show that the Newmark method and the Wilson-θ method should not be applied to nonlinear railway vehicle systems as these methods result in errors. In contrast to the predictor-corrector Adams method and the precise integration method, the Runge–Kutta method with error control (RK45) is not applicable to the non-smooth problems although the RK45 possesses high accuracy. In addition, the application of the RK45 and the predictor-corrector Adams method with error control may result in spurious tiny oscillation in the vehicle system related to nonlinear vertical wheel–rail forces. The corrected explicit method of double time steps, the Zhai method, the standard Runge–Kutta method, the precise integration method, the RK45, and the predictor-corrector Adams method which possess tight error tolerances are recommended for nonlinear railway vehicle systems according to the requirements of accuracy and computational efficiency.

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Journal articles on the topic 'The Newmark method'

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