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Comparison between linear and non-linear forms of pseudo-first-order and pseudo-second-order adsorption

Junxiong LIN , Lan WANG ,

Frontiers of Environmental Science & Engineering 2009, Volume 3, Issue 3,   Pages 320-324 doi: 10.1007/s11783-009-0030-7

Abstract: The best-fit equations of linear and non-linear forms of the two widely used kinetic models, namely pseudo-first-orderThe results show that the non-linear forms of pseudo-first-order and pseudo-second-order models weremore suitable than the linear forms for fitting the experimental data.The experimental kinetics may have been distorted by linearization of the linear kinetic equations, andthus, the non-linear forms of kinetic equations should be primarily used to obtain the adsorption parameters

Keywords: adsorption     pseudo-first order     pseudo-second order     kinetic model     linear method     non-linear method    

Recent development of vibration utilization engineering

WEN Bangchun

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 1,   Pages 1-9 doi: 10.1007/s11465-008-0017-2

Abstract: In this paper, vibration utilization is classified into linear or non-linear vibrations, waves, and electric-magnetic

Keywords: utilization engineering     non-linear     vibration     vibration utillization     utillization engineering    

Scrutiny of non-linear differential equations Euler-Bernoulli beam with large rotational deviation by

M. R. AKBARI,M. NIMAFAR,D. D. GANJI,M. M. AKBARZADE

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 4,   Pages 402-408 doi: 10.1007/s11465-014-0316-8

Abstract:

The kinematic assumptions upon which the Euler-Bernoulli beam theory is founded allow it to be extended to more advanced analysis. Simple superposition allows for three-dimensional transverse loading. Using alternative constitutive equations can allow for viscoelastic or plastic beam deformation. Euler-Bernoulli beam theory can also be extended to the analysis of curved beams, beam buckling, composite beams and geometrically nonlinear beam deflection. In this study, solving the nonlinear differential equation governing the calculation of the large rotation deviation of the beam (or column) has been discussed. Previously to calculate the rotational deviation of the beam, the assumption is made that the angular deviation of the beam is small. By considering the small slope in the linearization of the governing differential equation, the solving is easy. The result of this simplification in some cases will lead to an excessive error. In this paper nonlinear differential equations governing on this system are solved analytically by Akbari-Ganji’s method (AGM). Moreover, in AGM by solving a set of algebraic equations, complicated nonlinear equations can easily be solved and without any mathematical operations such as integration solving. The solution of the problem can be obtained very simply and easily. Furthermore, to enhance the accuracy of the results, the Taylor expansion is not needed in most cases via AGM manner. Also, comparisons are made between AGM and numerical method (Runge-Kutta 4th). The results reveal that this method is very effective and simple, and can be applied for other nonlinear problems.

Keywords: AGM     critical load of columns     large deformations of beam     nonlinear differential equation    

Chaotic behavior of LNG after stratification in main stream region of storage tank

WANG Jingjing, MA Xiaoqian

Frontiers in Energy 2008, Volume 2, Issue 4,   Pages 514-518 doi: 10.1007/s11708-008-0076-4

Abstract: Based on non-linear dynamics, a 2-dimensional Rayleigh-Benard convection model was developed to simulate

Keywords: Runge-Kutta     non-linear     corresponding     temperature     addition    

Spatial distribution of ecological security status assessment of West-Liaohe River based on geographic information system

WANG Geng, WU Wei

Frontiers of Environmental Science & Engineering 2007, Volume 1, Issue 4,   Pages 471-476 doi: 10.1007/s11783-007-0075-4

Abstract: is a hot research area in resource and environmental science, which involves data with much spatial, non-linear

Keywords: environmental     Eco-security assessment     resource     Geographic information     non-linear    

Linear and nonlinear elastic analysis of closely spaced strip foundations using Pasternak model

Priyanka GHOSH, S. RAJESH, J. SAI CHAND

Frontiers of Structural and Civil Engineering 2017, Volume 11, Issue 2,   Pages 228-243 doi: 10.1007/s11709-016-0370-x

Abstract: The study considers small strain problem and has been performed using linear as well as nonlinear elasticThe linear elastic analysis has been carried out by deriving the equations for the interference effectResults obtained from the linear and the nonlinear elastic analysis are presented in terms of non-dimensional

Keywords: bearing capacity     linear and non-linear elasticity     foundation     interaction effect     numerical modeling     Pasternak    

Optimal localization of complex surfaces in CAD-based inspection

XU Jinting, LIU Weijun, SUN Yuwen

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 4,   Pages 426-433 doi: 10.1007/s11465-008-0068-4

Abstract: Since this approach does not involve an iterative process of solving non-linear equations for the closest

Keywords: deviation     comparison     non-linear     localization     inspection    

Shape optimization of aluminium alloy spherical reticulated shells considering nonlinearities

Wei LIU; Lishu XU; Shaojun ZHU; Lijuan LI; Feng LIU; Zhe XIONG

Frontiers of Structural and Civil Engineering 2022, Volume 16, Issue 12,   Pages 1565-1580 doi: 10.1007/s11709-022-0867-4

Abstract: The optimization procedure adopts a genetic algorithm in which the elastoplastic non-linear bucklingcontrolling points, optimization results have enabled a path toward achieving a larger elastoplastic non-linearmaterial nonlinearity, the optimal shapes obtained based on considering and not considering material non-linearobjective functions, the elastoplastic and elastic non-linear buckling loads, are compared.

Keywords: shape optimization     aluminum alloy     spherical reticulated shell     non-linear buckling     material nonlinearity    

Research and assessment of high efficiency temporary plugging agent used for refracturing

Yan Zhitao

Strategic Study of CAE 2012, Volume 14, Issue 4,   Pages 20-25

Abstract: And, nonlinear finite element numerical simulation analysis has been adopted for temporarily blocking

Keywords: refracturing     temporary plugging agent     fracture divert     non-linear finite element analysis     gas protection    

Integrated control strategies for railway vehicles with independently-driven wheel motors

FENG Jinzhi, LI Jun, Goodall R. M.

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 3,   Pages 239-250 doi: 10.1007/s11465-008-0053-y

Abstract: First, a non-linear vehicle dynamic model and motor drive strategy are presented, which are followed

Keywords: development     independently-driven     non-linear     stabilization     reformulated    

Seismic progressive-failure analysis of tall steel structures under beam-removal scenarios

Behrouz BEHNAM, Fahimeh SHOJAEI, Hamid Reza RONAGH

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 4,   Pages 904-917 doi: 10.1007/s11709-019-0525-7

Abstract: Investigating progressive collapse of tall structures under beam removal scenarios after earthquake is a complex subject because the earthquake damage acts as an initial condition for the subsequent scenario. An investigation is performed here on a 10 story steel moment resisting structure designed to meet the life safety level of performance when different beam removal scenarios after earthquake are considered. To this end, the structure is first subjected to the design earthquake simulated by Tabas earthquake acceleration. The beam removal scenarios are then considered at different locations assuming that both ends connections of the beam to columns are simultaneously detached from the columns; thus the removed beam falls on the underneath floor with an impact. This imposes considerable loads to the structure leading to a progressive collapse in all the scenarios considered. The results also show that the upper stories are much more vulnerable under such scenarios than the lower stories. Hence, more attention shall be paid to the beam-to-column connections of the upper stories during the process of design and construction.

Keywords: progressive collapse     tall steel moment-resisting frames     non-linear dynamic analysis     beam-removal scenario    

Aseismic smart building isolation systems under multi-level earthquake excitations: Part I, conceptual design and nonlinear analysis

Min-Ho CHEY,J. Geoffrey CHASE,John B. MANDER,Athol J. CARR

Frontiers of Structural and Civil Engineering 2015, Volume 9, Issue 3,   Pages 286-296 doi: 10.1007/s11709-015-0307-9

Abstract: As a novel structural control strategy, tuned mass damper (TMD) inspired passive and semi-active smart building isolation systems are suggested to reduce structural response and thus mitigate structural damage due to earthquake excitations. The isolated structure’s upper stories can be utilized as a large scaled TMD, and the isolation layer, as a core design point, between the separated upper and lower stories entails the insertion of rubber bearings and (i) viscous dampers (passive) or (ii) resettable devices (semi-active). The seismic performance of the suggested isolation systems are investigated for 12-story reinforced concrete moment resisting frames modeled as “10+ 2” stories and “8+ 4” stories. Passive viscous damper or semi-active resettable devices are parametrically evaluated through the optimal design principle of a large mass ratio TMD. Statistical performance metrics are presented for 30 earthquake records from the three suites of the SAC project. Based on nonlinear structural models, including P-delta effects and modified Takeda hysteresis, the inelastic time history analyses are conducted to compute the seismic performances across a wide range of seismic hazard intensities. Results show that semi-active smart building isolation systems can effectively manage seismic response for multi-degree-of freedom (MDOF) systems across a broader range of ground motions in comparison to uncontrolled case and passive solution.

Keywords: tuned mass damper     smart building isolation     resettable device     non-linear     statistical assessment    

Performance analysis of two EM-based measurement bias estimation processes for tracking systems None

Zhi-hua LU, Meng-yao ZHU, Qing-wei YE, Yu ZHOU

Frontiers of Information Technology & Electronic Engineering 2018, Volume 19, Issue 9,   Pages 1151-1165 doi: 10.1631/FITEE.1800214

Abstract:

In target tracking, the measurements collected by sensors can be biased in some real scenarios, e.g., due to systematic error. To accurately estimate the target trajectory, it is essential that the measurement bias be identified in the first place. We investigate the iterative bias estimation process based on the expectation-maximization (EM) algorithm, for cases where sufficiently large numbers of measurements are at hand. With the assistance of extended Kalman filtering and smoothing, we derive two EM estimation processes to estimate the measurement bias which is formulated as a random variable in one state-space model and a constant value in another. More importantly, we theoretically derive the global convergence result of the EM-based measurement bias estimation and reveal the link between the two proposed EM estimation processes in the respective state-space models. It is found that the bias estimate in the second state-space model is more accurate and of less complexity. Furthermore, the EM-based iterative estimation converges faster in the second state-space model than in the first one. As a byproduct, the target trajectory can be simultaneously estimated with the measurement bias, after processing a batch of measurements. These results are confirmed by our simulations.

Keywords: Non-linear state-space model     Measurement bias     Extended Kalman filter     Extended Kalman smoothing     Expectation-maximization    

Non linear modeling of three-dimensional reinforced and fiber concrete structures

Fatiha IGUETOULENE, Youcef BOUAFIA, Mohand Said KACHI

Frontiers of Structural and Civil Engineering 2018, Volume 12, Issue 4,   Pages 439-453 doi: 10.1007/s11709-017-0433-7

Abstract: Under the effect of the ascending loading, the behavior of reinforced concrete structures is rather nonlinear.Research in industry and science aims to extend forward the use of non-linear calculation of fiber concreteFor steel bi-linear relationship is used.

Keywords: numerical modeling     column and beam     nonlinear analysis     fibers     pious     reinforcement     3D formulation     response load-deflection    

Design and analysis of linear oscillating motor for linear pump application-magnetic field, dynamics

Zongxia JIAO,Tianyi WANG,Liang YAN

Frontiers of Mechanical Engineering 2016, Volume 11, Issue 4,   Pages 351-362 doi: 10.1007/s11465-016-0407-9

Abstract:

A linear oscillating motor is an electromagnetic actuator that can achieve short-stroke reciprocatingIt has been widely used in linear pump applications as the source of power and motion.However, because of the demand of high power density in a linear actuation system, the performance oflinear oscillating motors has been the focus of studies and deserves further research for high powerlinear pump applications.

Keywords: linear oscillating motor     linear pump     magnetic field     motor optimization    

Title Author Date Type Operation

Comparison between linear and non-linear forms of pseudo-first-order and pseudo-second-order adsorption

Junxiong LIN , Lan WANG ,

Journal Article

Recent development of vibration utilization engineering

WEN Bangchun

Journal Article

Scrutiny of non-linear differential equations Euler-Bernoulli beam with large rotational deviation by

M. R. AKBARI,M. NIMAFAR,D. D. GANJI,M. M. AKBARZADE

Journal Article

Chaotic behavior of LNG after stratification in main stream region of storage tank

WANG Jingjing, MA Xiaoqian

Journal Article

Spatial distribution of ecological security status assessment of West-Liaohe River based on geographic information system

WANG Geng, WU Wei

Journal Article

Linear and nonlinear elastic analysis of closely spaced strip foundations using Pasternak model

Priyanka GHOSH, S. RAJESH, J. SAI CHAND

Journal Article

Optimal localization of complex surfaces in CAD-based inspection

XU Jinting, LIU Weijun, SUN Yuwen

Journal Article

Shape optimization of aluminium alloy spherical reticulated shells considering nonlinearities

Wei LIU; Lishu XU; Shaojun ZHU; Lijuan LI; Feng LIU; Zhe XIONG

Journal Article

Research and assessment of high efficiency temporary plugging agent used for refracturing

Yan Zhitao

Journal Article

Integrated control strategies for railway vehicles with independently-driven wheel motors

FENG Jinzhi, LI Jun, Goodall R. M.

Journal Article

Seismic progressive-failure analysis of tall steel structures under beam-removal scenarios

Behrouz BEHNAM, Fahimeh SHOJAEI, Hamid Reza RONAGH

Journal Article

Aseismic smart building isolation systems under multi-level earthquake excitations: Part I, conceptual design and nonlinear analysis

Min-Ho CHEY,J. Geoffrey CHASE,John B. MANDER,Athol J. CARR

Journal Article

Performance analysis of two EM-based measurement bias estimation processes for tracking systems

Zhi-hua LU, Meng-yao ZHU, Qing-wei YE, Yu ZHOU

Journal Article

Non linear modeling of three-dimensional reinforced and fiber concrete structures

Fatiha IGUETOULENE, Youcef BOUAFIA, Mohand Said KACHI

Journal Article

Design and analysis of linear oscillating motor for linear pump application-magnetic field, dynamics

Zongxia JIAO,Tianyi WANG,Liang YAN

Journal Article