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Journal articles on the topic 'Nonlinear static'

To see the other types of publications on this topic, follow the link: Nonlinear static.

Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

Shin, Han-Seop, Min-Han Oh, and Seung-Hwan Boo. "Local Nonlinear Static Analysis via Static Condensation." Journal of the Korean Society of Marine Environment and Safety 27, no. 1 (February 28, 2021): 193–200. http://dx.doi.org/10.7837/kosomes.2021.27.1.193.

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2

Bociu, Lorena, and Justin T. Webster. "Nonlinear quasi-static poroelasticity." Journal of Differential Equations 296 (September 2021): 242–78. http://dx.doi.org/10.1016/j.jde.2021.05.060.

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3

Bahari, A. R., M. A. Yunus, M. N. Abdul Rani, M. A. Ayub, and A. Nalisa. "Numerical And Experimental Investigations of Nonlinearity Behaviour In A Slender Cantilever Beam." MATEC Web of Conferences 217 (2018): 02008. http://dx.doi.org/10.1051/matecconf/201821702008.

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Nonlinear problem is always occur in slender structures that are usually characterized by large displacements and rotations but small strains. Linear design assumption could lead to premature failure if the structure behaves nonlinearly. In this paper, the static displacement of a slender beam subjected to point load is investigated numerically by incorporating the large amplitude of the displacement. Two types of numerical analyses are performed at a full-scale finite element model which is linear static and geometric nonlinear implicit static. the results of the FEA linear static analysis are compared with the results from the FEA geometric nonlinear implicit static analysis. It shows that very high different load-displacement value response. Experimental static displacement test has been performed to validate both numerical results.

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4

Halabi, Ryan G., and John K. Hunter. "Nonlinear Quasi-Static Surface Plasmons." SIAM Journal on Applied Mathematics 76, no. 5 (January 2016): 1899–919. http://dx.doi.org/10.1137/15m1045867.

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5

SHILKRUT, D. "STABILITY OF EQUILIBRIUM STATES OF NONLINEAR STRUCTURES AND CHAOS PHENOMENON." International Journal of Bifurcation and Chaos 02, no. 02 (June 1992): 271–83. http://dx.doi.org/10.1142/s0218127492000288.

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The “classical” chaos of deterministic systems is characteristic for the motion of dynamical systems. Recently, some attempts were made to find static analogies of chaos [Thompson & Virgin, 1988; Naschie & Athel, 1989; Naschie, 1989]. However, this was considered for structures in specific artificial conditions (for example, infinitely long bars with sinusoidal geometric imperfections) transferring de facto the boundary value problem (which always describes static deformation of structures) into an initial value problem characteristic for problems of motion. In this article, chaotic (unpredictable) behavior is described for a usual (not special) nonlinear structure in statics, which is governed, naturally, by a boundary value problem in a finite interval of the argument. The behavior of this structure (geometrically nonlinear plate), which is an example of the class of static chaotic structures, is investigated by a new geometrical approach called the “deformation map.” The presented results are one of the first steps in the chapter of chaos in statics, and therefore the link between “classical” and static chaos needs further investigations.

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6

Kantor, Etay, Daniella E. Raveh, and Rauno Cavallaro. "Nonlinear Structural, Nonlinear Aerodynamic Model for Static Aeroelastic Problems." AIAA Journal 57, no. 5 (May 2019): 2158–70. http://dx.doi.org/10.2514/1.j057309.

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7

Sarafian, H. "Static Electric-Spring and Nonlinear Oscillations." Journal of Electromagnetic Analysis and Applications 02, no. 02 (2010): 75–81. http://dx.doi.org/10.4236/jemaa.2010.22011.

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8

Bitar, Khalil, and Efstratios Manousakis. "Nonlinear σ model and static holes." Physical Review B 43, no. 4 (February 1, 1991): 2615–24. http://dx.doi.org/10.1103/physrevb.43.2615.

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9

Newman Iii, J. C., P. A. Newman, A. C. Taylor Iii, and G. J. W. Hou. "Efficient nonlinear static aeroelastic wing analysis." Computers & Fluids 28, no. 4-5 (May 1999): 615–28. http://dx.doi.org/10.1016/s0045-7930(98)00047-4.

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10

Kantor, J. C., and M. R. Keenan. "Static Nonlinear Control of Chemical Processes." IFAC Proceedings Volumes 20, no. 5 (July 1987): 271–74. http://dx.doi.org/10.1016/s1474-6670(17)55450-6.

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11

Yuan, Ping-Ping, Zuo-Cai Wang, Wei-Xin Ren, and Xia Yang. "Nonlinear joint model updating using static responses." Advances in Mechanical Engineering 8, no. 12 (December 2016): 168781401668265. http://dx.doi.org/10.1177/1687814016682651.

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Nonlinear behavior is often observed in structural joint system due to external loads. A new technique of nonlinear structural joint model updating with static load test results is proposed in this article to investigate the actual behavior of a joint system. To calibrate the nonlinear parameters of the structural joint system, an appropriate finite element model is first established to characterize the complex nonlinear behavior caused by the joint connections. Combined with the sensitivity analysis, the parameters that describe the nonlinear behavior of the joint connections are selected as the parameters to be updated. Subsequently, an objective function is created in accordance with the residual between experimentally measured static deflections and analytically calculated static deflections through finite element model. The objective function is then optimized to obtain the proper values of the nonlinear force–displacement parameters with the regular simulated annealing algorithm. To validate the efficiency of this updating approach, two numerical examples under static concentrated loads are conducted. The obtained results indicate that the nonlinear joint model parameters can be successfully updated, and the updated new model can further forecast the true deflections of the nonlinear structure with good accuracy and stability.

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12

Berik, Pelin, and Peter L. Bishay. "Parameter Identification of the Nonlinear Piezoelectric Shear d15 Coefficient of a Smart Composite Actuator." Actuators 10, no. 7 (July 19, 2021): 168. http://dx.doi.org/10.3390/act10070168.

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The objective of this work is to characterize the nonlinear dependence of the piezoelectric d15 shear coefficient of a composite actuator on the static electric field and include this effect in finite element (FE) simulations. The Levenberg-Marquardt nonlinear least squares optimization algorithm implemented in MATLAB was applied to acquire the piezoelectric shear coefficient parameters. The nonlinear piezoelectric d15 shear constant of the composite actuator integrated with piezoceramic d15 patches was obtained to be 732 pC/N at 198 V. The experimental benchmark was simulated using a three-dimensional piezoelectric FE model by taking piezoelectric nonlinearity into consideration. The results revealed that the piezoelectric shear d15 coefficient increased nonlinearly under static applied electric fields over 0.5 kV/cm. A comparison between the generated transverse deflections of the linear and nonlinear FE models was also performed.

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13

Wang, Yang, Luanxiao Zhao, De-Hua Han, Qianqian Wei, Yonghao Zhang, Hemin Yuan, and Jianhua Geng. "Experimental quantification of the evolution of the static mechanical properties of tight sedimentary rocks during increasing-amplitude load and unload cycling." GEOPHYSICS 87, no. 2 (February 15, 2022): MR73—MR83. http://dx.doi.org/10.1190/geo2021-0232.1.

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Understanding the linearly and nonlinearly elastic behaviors of tight reservoir rocks is crucial for numerous geophysical and geomechanical applications in hydrocarbon exploration and production, geologic repositories for greenhouse gases, and geothermal energy exploitation. We have performed a suite of triaxial load and unload cycling tests with increasing stress amplitudes on three tight sedimentary rocks to explore the evolution of their static mechanical properties (Young’s modulus and Poisson’s ratio). We intend to depict the transition from linear to nonlinear elasticity by combining static measurements with dynamic measurements. The experimental results suggest that static mechanical properties increase upon load stress cycling, but they decrease upon unload stress cycling. Upon the increasing-amplitude unload cycling, static mechanical properties gradually decrease from values approaching dynamic properties to values closer to static properties upon load cycling. By quadratically fitting the static mechanical properties as functions of the strain amplitude in the process of unload cycling, we define a characteristic strain amplitude of approximately 5 × 10−5 to distinguish the linearly elasticity-dominated and nonlinearly elasticity-dominated behaviors for three tight rocks. Such transitional behavior in tight sedimentary rocks can be microscopically explained by the gradual activation of friction-controlled sliding from the beginning of the cyclic stress unload. These observations provide direct experimental evidence of the transition from linear to nonlinear elasticity for tight sedimentary rocks during the laboratory static measurements, which will facilitate understanding of the dynamic-static parameter correlation and the modeling of rock deformations in geoscience or geoengineering applications.

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14

Somwanshi, Mrs Ramatai. "Estimation of Nonlinear Static Damage Index for Seismic Assessment." International Journal for Research in Applied Science and Engineering Technology 9, no. VII (July 31, 2021): 3688–95. http://dx.doi.org/10.22214/ijraset.2021.37069.

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The main objective of this study is, evaluation damage index of reinforced concrete moment resisting frames by” NONLINEAR STATIC PROCEDURE” nonlinear static analysis includes the capacity spectrum method (CSM) that uses the intersection of the capacity (pushover) curve and a reduced response spectrum to estimate maximum displacement in terms of damage of building. Nonlinear static procedure is simple and practical method for static damage index. For this purpose, first some functions are derived to estimate damage to the structure using pushover analysis and then designed procedure is proposed. In this study damage function is estimated by using correlation between park-ang damage index (NLDD) and nonlinear static damage index (NLSD) which is based on the pushover analysis. For this purpose dynamic and static damage damage analysis are performed on several concrete frames subjected to various earthquake acceleration records. So the detail explanation is found in this study.

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15

Gasparini, D., and V. Gautam. "Geometrically Nonlinear Static Behavior of Cable Structures." Journal of Structural Engineering 128, no. 10 (October 2002): 1317–29. http://dx.doi.org/10.1061/(asce)0733-9445(2002)128:10(1317).

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16

Haftka, Raphael T. "Semi-analytical static nonlinear structural sensitivity analysis." AIAA Journal 31, no. 7 (July 1993): 1307–12. http://dx.doi.org/10.2514/3.11768.

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17

Shinozuka, Masanobu, Maria Q. Feng, Ho-Kyung Kim, and Sang-Hoon Kim. "Nonlinear Static Procedure for Fragility Curve Development." Journal of Engineering Mechanics 126, no. 12 (December 2000): 1287–95. http://dx.doi.org/10.1061/(asce)0733-9399(2000)126:12(1287).

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18

Vora, S. C., and L. Satish. "ADC Static Characterization Using Nonlinear Ramp Signal." IEEE Transactions on Instrumentation and Measurement 59, no. 8 (August 2010): 2115–22. http://dx.doi.org/10.1109/tim.2009.2031852.

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19

Yang, Ren‐Jye, and M. Asghar Bhatti. "Nonlinear Static and Dynamic Analysis of Plates." Journal of Engineering Mechanics 111, no. 2 (January 1985): 175–87. http://dx.doi.org/10.1061/(asce)0733-9399(1985)111:2(175).

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20

Efimov, Denis V., and Alexander L. Fradkov. "Oscillatority of Nonlinear Systems with Static Feedback." SIAM Journal on Control and Optimization 48, no. 2 (January 2009): 618–40. http://dx.doi.org/10.1137/070706963.

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21

Abrate, Serge, Robert Dooley, Robert Kaste, Gary Thibault, and William Millette. "Nonlinear dynamic behavior of parachute static lines." Composite Structures 61, no. 1-2 (July 2003): 3–12. http://dx.doi.org/10.1016/s0263-8223(03)00025-4.

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22

Sedlar, Damir, Zeljan Lozina, and Andjela Bartulovic. "Nonlinear static isogeometric analysis of cable structures." Archive of Applied Mechanics 89, no. 4 (November 15, 2018): 713–29. http://dx.doi.org/10.1007/s00419-018-1489-0.

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23

Zayer, Rhaleb. "A nonlinear static approach for curve editing." Computers & Graphics 36, no. 5 (August 2012): 514–20. http://dx.doi.org/10.1016/j.cag.2012.03.024.

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24

Gao, G. T., X. C. Zeng, and D. J. Diestler. "Nonlinear effects of physisorption on static friction." Journal of Chemical Physics 113, no. 24 (December 22, 2000): 11293–96. http://dx.doi.org/10.1063/1.1326416.

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25

Ishida, Takekazu, Ron B. Goldfarb, Satoru Okayasu, and Yukio Kazumata. "Static and nonlinear complex susceptibility of YBa2Cu3O7." Physica C: Superconductivity 185-189 (December 1991): 2515–16. http://dx.doi.org/10.1016/0921-4534(91)91382-e.

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26

Al'tshuler, G. B., and V. S. Ermolaev. "Nonlinear light scattering by static optical inhomogeneities." Journal of Applied Spectroscopy 42, no. 2 (February 1985): 239–44. http://dx.doi.org/10.1007/bf00657209.

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27

Vatanshenas, Ali. "Nonlinear Analysis of Reinforced Concrete Shear Walls Using Nonlinear Layered Shell Approach." Nordic Concrete Research 65, no. 2 (December 1, 2021): 63–79. http://dx.doi.org/10.2478/ncr-2021-0014.

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Abstract This study discusses nonlinear modelling of a reinforced concrete wall utilizing the nonlinear layered shell approach. Rebar, unconfined and confined concrete behaviours are defined nonlinearly using proposed analytical models in the literature. Then, finite element model is validated using experimental results. It is shown that the nonlinear layered shell approach is capable of estimating wall response (i.e., stiffness, ultimate strength, and cracking pattern) with adequate accuracy and low computational effort. Modal analysis is conducted to evaluate the inherent characteristics of the wall to choose a logical loading pattern for the nonlinear static analysis. Moreover, pushover analysis’ outputs are interpreted comprehensibly from cracking of the concrete until reaching the rupture step by step.

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28

He, Xiao Cong. "Comparisons of Linear and Nonlinear FEA of Adhesively Bonded Beams." Advanced Materials Research 1088 (February 2015): 763–68. http://dx.doi.org/10.4028/www.scientific.net/amr.1088.763.

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The effect of boundary conditions on the stress distributions in single-lap adhesively bonded cantilevered beams has been investigated using the three-dimensional linear static and non-linear quasi-static finite element method. The displacement obtained from the linear static and the non-linear quasi-static analyses are compared under the same deformation scale factor for three typical boundary conditions. The analysis results indicate that there are significant differences between the linear static and non-linear quasi-static analyses only if there are significant bending effect on the bonded section. The bigger the bending effect on the bonded section, the bigger the difference between the linear static and non-linear quasi-static analyses.

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29

Berikelashvili, G., A. Papukashvili, and J. Peradze. "Iterative solution of a nonlinear static beam equation." Ukrains’kyi Matematychnyi Zhurnal 72, no. 8 (August 18, 2020): 1024–33. http://dx.doi.org/10.37863/umzh.v72i8.833.

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UDC 519.6 The paper deals with a boundary-value problem for the nonlinear integro-differential equation modeling the static state of the Kirchhoff beam. The problem is reduced to a nonlinear integral equation, which is solved using the Picard iteration method. The convergence of the iteration process is established and the error estimate is obtained.

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30

Dao, Nguyen Van. "Nonlinear oscillations in systems with large static deflection of elastic elements." Vietnam Journal of Mechanics 15, no. 4 (December 31, 1993): 7–16. http://dx.doi.org/10.15625/0866-7136/10214.

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In mechanical systems the static deflection of the elastic elements is usual not appeared in the equations of motion. The reason is that either a linear model of the elastic elements or their too small static deflection assumption was accepted. In the present paper both nonlinear model of elastic elements and their large static deflection are considered, so that the nonlinear terms in the equation of motion appear with different degrees of smallness. In this case the nonlinearity of the system depends not only on the nonlinear characteristic of the elastic element but on its static deflection. The distinguishing feature of the system under consideration is that if the elastic element has soft characteristic, the nonlinear system also belongs to the soft one. If the elastic element has hard characteristic, the system may be either soft or hard or neutral type, depending on the relation between the parameters of the elastic element and its static deflection.

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31

Ren, Chun, Haitao Min, Tianfei Ma, and Fangquan Wang. "Efficient structure crash topology optimization strategy using a model order reduction method combined with equivalent static loads." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 234, no. 7 (December 24, 2019): 1897–911. http://dx.doi.org/10.1177/0954407019893841.

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In this study, an efficient topology optimization method under crash loads is proposed by combining the equivalent static loads with a model order reduction method, which is referred as the reduced model–based equivalent static loads method for nonlinear dynamic response topology optimization method. Considering that some parts of the vehicle experience large nonlinear deformations, whereas others exhibit only small linear deformations in a vehicle crash scenario, the linear and nonlinear behavior parts are identified and the whole model of the complete structure is divided into nonlinear and linear sub-models. At each cycle, the model order reduction method is used in the linear sub-model during crash analysis to solve the low-density-elements-induced mesh distortion problem and accelerate this process. In the linear static topology optimization, the nonlinear sub-model that was initially used to describe the nonlinear behavior part is linearized by the equivalent static loads method and then reduced by the Guyan reduction method. Then, the reduced equivalent static load model is assembled into the linear sub-model that is defined as the design space to formulate a reduced topology optimization model of the complete structure and the reduced equivalent static loads that only act on master degrees of freedom are calculated. Finally, the linear static topology optimization is performed based on the reduced topology optimization model with the reduced equivalent static loads to enhance the efficiency and improve the numerical stability. The process is repeated until the convergence criterion is satisfied. The effectiveness of the proposed method is demonstrated by investing a numerical example. The results show that the proposed method provides a feasible strategy for the topology optimization under crash loads, which can effectively improve the numerical stability and convergence.

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32

Prasad, Vineet, Kajal Kothari, and Utkal Mehta. "Parametric Identification of Nonlinear Fractional Hammerstein Models." Fractal and Fractional 4, no. 1 (December 30, 2019): 2. http://dx.doi.org/10.3390/fractalfract4010002.

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In this paper, a system identification method for continuous fractional-order Hammerstein models is proposed. A block structured nonlinear system constituting a static nonlinear block followed by a fractional-order linear dynamic system is considered. The fractional differential operator is represented through the generalized operational matrix of block pulse functions to reduce computational complexity. A special test signal is developed to isolate the identification of the nonlinear static function from that of the fractional-order linear dynamic system. The merit of the proposed technique is indicated by concurrent identification of the fractional order with linear system coefficients, algebraic representation of the immeasurable nonlinear static function output, and permitting use of non-iterative procedures for identification of the nonlinearity. The efficacy of the proposed method is exhibited through simulation at various signal-to-noise ratios.

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33

Yan, Zhenhua, Bing Zhu, Xuefei Li, and Guoqiang Wang. "Modeling and Analysis of Static and Dynamic Characteristics of Nonlinear Seat Suspension for Off-Road Vehicles." Shock and Vibration 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/938205.

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Low-frequency vibrations (0.5–5 Hz) that harm drivers occur in off-road vehicles. Thus, researchers have focused on finding methods to effectively isolate or control low-frequency vibrations. A novel nonlinear seat suspension structure for off-road vehicles is designed, whose static characteristics and seat-human system dynamic response are modeled and analyzed, and experiments are conducted to verify the theoretical solutions. Results show that the stiffness of this nonlinear seat suspension could achieve real zero stiffness through well-matched parameters, and precompression of the main spring could change the nonlinear seat suspension performance when a driver’s weight changes. The displacement transmissibility curve corresponds with the static characteristic curve of nonlinear suspension, where the middle part of the static characteristic curve is gentler and the resonance frequency of the displacement transmissibility curve and the isolation minimum frequency are lower. Damping should correspond with static characteristics, in which the corresponding suspension damping value should be smaller given a flatter static characteristic curve to prevent vibration isolation performance reduction.

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34

You, Yi, Long Zhang, Zhitao Yan, Xiaochun Nie, and Feng Wang. "Static Wind Nonlinear Analysis of Iced Transmission Lines." IOP Conference Series: Earth and Environmental Science 632 (January 14, 2021): 042036. http://dx.doi.org/10.1088/1755-1315/632/4/042036.

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35

Sarafian, Haiduke. "Nonlinear Oscillations of a Magneto Static Spring-Mass." Journal of Electromagnetic Analysis and Applications 03, no. 05 (2011): 133–39. http://dx.doi.org/10.4236/jemaa.2011.35022.

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36

Khalil Al-Bukhaiti, Khalil, Khalid Zaidi, and Abdulrahman Ali. "Nonlinear static analysis of Multistoried Building in Yemen." Journal of Engineering and Applied Sciences 1, no. 1 (April 5, 2018): 49–56. http://dx.doi.org/10.22496/jeas.v1i1.110.

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37

Paredes, Angel, José Ramón Salgueiro, and Humberto Michinel. "Static Multi-Vortex Structures in Nonlinear Optical Media." EPJ Web of Conferences 266 (2022): 08008. http://dx.doi.org/10.1051/epjconf/202226608008.

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We demonstrate through numerical simulations the existence of a new type of nonlinear waves in optical media: structures of vortex solitons that remain static in certain configurations, which depend on their relative positions and topological charges. Several examples are presented to illustrate this surprising behavior.

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38

Huang, Youqiang, and Shixi Chen. "Nonlinear static analysis of thermal power plant buildings." IOP Conference Series: Earth and Environmental Science 804, no. 4 (July 1, 2021): 042032. http://dx.doi.org/10.1088/1755-1315/804/4/042032.

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39

Weymark, John A. "Comparative Static Properties of Optimal Nonlinear Income Taxes." Econometrica 55, no. 5 (September 1987): 1165. http://dx.doi.org/10.2307/1911266.

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40

ZACCHEI, E., P. H. C. LYRA, and F. R. STUCCHI. "Nonlinear static analysis of a pile-supported wharf." Revista IBRACON de Estruturas e Materiais 12, no. 5 (October 2019): 998–1009. http://dx.doi.org/10.1590/s1983-41952019000500003.

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Abstract The aim of this paper is to carry out a nonlinear static analysis using a case study of a pile-supported wharf in a new oil tankers port. The seismic activity in this area is very intense with the peak ground acceleration of 0.55 g; for this reason, it is very important to analyse the structural behaviour of the nonlinear situation. The analysis of the wharf, modelled in 3D by finite element method, serves to calculate the structure vibration periods (the structure’s first period is 1.68 s) and the capacity curve. The design of the structure follows traditional criteria by international guidelines, and its procedure is in accordance to classic theoretical methods and codes. For the selection of adequate characteristic earthquake input for the pushover analysis European and Venezuelan codes have been used. Besides being important to study the seismic influence on the body of the wharf and on critical elements, as well as and the interaction fluid-structure-soil, it is also important to analyse the consequences of structure failure and to estimate the maximum allowed displacement. The results show that the ultimate displacement is 18,81 cm. A port is an extremely strategic work, which needs to be carefully designed to avoid environmental damage and maintain human safety.

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41

Qi-Chang, Zhang, Wang Wei, and Liu Fu-Hao. "High-codimensional static bifurcations of strongly nonlinear oscillator." Chinese Physics B 17, no. 11 (November 2008): 4123–28. http://dx.doi.org/10.1088/1674-1056/17/11/027.

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42

Kutnjak, Z., R. Pirc, and R. Blinc. "Field-cooled static nonlinear response of relaxor ferroelectrics." Applied Physics Letters 80, no. 17 (April 29, 2002): 3162–64. http://dx.doi.org/10.1063/1.1475771.

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43

Roh, Hwasung, and Andrei M. Reinhorn. "Nonlinear Static Analysis of Structures with Rocking Columns." Journal of Structural Engineering 136, no. 5 (May 2010): 532–42. http://dx.doi.org/10.1061/(asce)st.1943-541x.0000154.

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44

Chitanvis, Shirish, Michael Dewey, George Hademenos, Wiliiam Powers, and Tarik Massoud. "A nonlinear quasi-static model of intracranial aneurysms." Neurological Research 19, no. 5 (October 1997): 489–96. http://dx.doi.org/10.1080/01616412.1997.11740846.

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45

Kornyshev, Alexei A., and Godehard Sutmann. "Nonlocal nonlinear static dielectric response of polar liquids." Journal of Electroanalytical Chemistry 450, no. 1 (June 1998): 143–56. http://dx.doi.org/10.1016/s0022-0728(97)00622-0.

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46

Inel, Mehmet, Bayram Tanik Cayci, and Emrah Meral. "Nonlinear Static and Dynamic Analyses of RC Buildings." International Journal of Civil Engineering 16, no. 9 (January 27, 2018): 1241–59. http://dx.doi.org/10.1007/s40999-018-0285-0.

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47

Simitses, G. J., and S. E. Mohamed. "Nonlinear analysis of gabled frames under static loads." Journal of Constructional Steel Research 12, no. 1 (January 1989): 1–17. http://dx.doi.org/10.1016/0143-974x(89)90046-1.

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48

Desai, Y. M., N. Popplewell, A. H. Shah, and D. N. Buragohain. "Geometric nonlinear static analysis of cable supported structures." Computers & Structures 29, no. 6 (January 1988): 1001–9. http://dx.doi.org/10.1016/0045-7949(88)90326-4.

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49

Souza, M., C. Vidigal, A. Momy, J. Taquin, and M. Sauzade. "Nonlinear calculation of three-dimensional static magnetic fields." IEEE Transactions on Magnetics 33, no. 4 (July 1997): 2486–91. http://dx.doi.org/10.1109/20.595903.

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50

Percinkova, B., G. M. Dimirovski, Z. Icev, and A. Arsenov. "A Method for Solving Arbitrary Nonlinear Static Systems." IFAC Proceedings Volumes 22, no. 10 (August 1989): 59–62. http://dx.doi.org/10.1016/s1474-6670(17)53145-6.

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