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Hydraulic valves, for the purpose of targeted pressure relief and damping, are a ubiquitous part of modern suspension systems. This paper deals with the analytical computation of fixed points of the dynamical system of a single-stage shock…

Fluid Dynamics · Physics 2023-07-26 Lukas Schickhofer , Chris G. Antonopoulos

A nonlinear dynamical system model that approximates a microscopic Gibbs field model for the yielding of a viscoplastic material subjected to varying external stress recently reported in [1] is presented. The predictions of the model are in…

Soft Condensed Matter · Physics 2016-10-04 Sainudiin Raazesh , Moyers-Gonzalez Miguel , Burghelea Teodor

Nonlinear contact dynamics are widely regarded as intrinsically nonlinear systems whose behaviour depends strongly on geometry and impact conditions. Here we show that any one-dimensional conservative contact system satisfying monotone…

Dynamical Systems · Mathematics 2026-04-06 Y. T. Feng

Valveless pumping assists in fluid transport in various organisms and engineering systems. In a previous work, to study the actuator impact effects on valveless pumping, we constructed a piecewise-linear lumped-parameter model for a…

Fluid Dynamics · Physics 2011-06-24 Chi-Chung Wang , Tian-Shiang Yang

This paper proposes a novel method to estimate the wheel dynamic load based on the gas pressure of a hydro-pneumatic suspension. A nonlinear coupled model between suspension chamber pressure and tire-ground contact force is developed,…

Databases · Computer Science 2026-03-17 Qijun Liao , Jue Yang , Subhash Rakheja , Yiting Kang , Yumeng Yao , Yuming Yin

This paper presents reviews of several models and numerical simulation models of non-linear and hysteresis behaviors of magneto-rheological liquid dampers in MATLAB/Simulink in the example of quarter-car model of vehicle suspension…

Systems and Control · Computer Science 2016-09-27 Sulaymon Eshkabilov

Despite long-term research and development of modern shock absorbers, the effect of variations of several crucial material and model parameters still remains dubious. The goal of this work is therefore a study of the changes of shock…

Fluid Dynamics · Physics 2023-12-29 Lukas Schickhofer , Chris G. Antonopoulos

In this paper, we present a new approach to obtain so-called damping estimates for self-similar solutions to general hyperbolic relaxation systems applying the method of characteristics. Such damping estimates are an important part of the…

Analysis of PDEs · Mathematics 2026-05-01 Johannes Bärlin

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive feedback laws such that the origin of the closed-loop system…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

Physical understanding of how the interplay between symmetries and nonlinear effects can control the scaling and multiscaling properties in a coupled driven system, such as magnetohydrodynamic turbulence or turbulent binary fluid mixtures,…

Statistical Mechanics · Physics 2021-03-23 Sudip Mukherjee , Abhik Basu

A long-time behavior of solutions to a nonlinear plate model subject to non-conservative and non-dissipative effects and nonlinear damping is considered. The model under study is a prototype for a suspension bridge under the effects of…

Dynamical Systems · Mathematics 2025-07-08 Irena Lasiecka , Jose H. Rodrigues , Madhumita Roy

Non-linear equations of radial motion of a gas bubble in a compressible viscous liquid have been modified considering effects of viscosity and compressibility more complete than all previous works. A new set of equations has been derived…

Fluid Dynamics · Physics 2007-05-23 Ahmad Moshaii , Rasool Sadighi-Bonabi , Mohammd Taeibi-Rahni

We consider a nonlinear (Berger or Von Karman) clamped plate model with a {\em piston-theoretic} right hand side---which include non-dissipative, non-conservative lower order terms. The model arises in aeroelasticity when a panel is…

Analysis of PDEs · Mathematics 2016-09-09 Jason S. Howell , Irena Lasiecka , Justin T. Webster

A new continuous contact force model for contacting problems with regular or irregular contacting surfaces and energy dissipations in multibody systems is presented and discussed in this work. The model is developed according to Hertz law…

Classical Physics · Physics 2020-01-07 Jie Zhang , Wenhao Li , Lei Zhao , Guangping He

Batch digester blowdown operations exhibit highly nonlinear hydraulic transport dynamics due to evolving slurry consistency and rheological uncertainty. This work presents a nonlinear dynamic model and a robust Sliding Mode Control (SMC)…

Mathematical Physics · Physics 2026-05-15 José M. Campos-Salazar

The application of nonlinear control schemes to electro-hydraulic actuators often requires several alterations in the design of the controllers during their implementation. This is to overcome challenges that frequently arise in such…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Alessio Dallabona , Patrik Schermann , Mogens Blanke , Dimitrios Papageorgiou

This paper presents the analytic modeling of mobile heavy-duty manipulators with actively articulated suspension and its optimal control to maximize its static and dynamic stabilization. By adopting the screw theory formalism, we consider…

Robotics · Computer Science 2025-02-11 Alvaro Paz , Jouni Mattila

Dynamic buckling is addressed for complete elastic spherical shells subject to a rapidly applied step in external pressure. Insights from the perspective of nonlinear dynamics reveal essential mathematical features of the buckling…

Soft Condensed Matter · Physics 2019-02-07 Jan Sieber John W. Hutchinson , J. Michael T. Thompson

Thermal fluctuations, geometric exclusion, and external driving all govern the mechanical response of dense particulate suspensions. Here, we measure the stress-strain response of quasi-two-dimensional flow-stabilized microsphere heaps in a…

Soft Condensed Matter · Physics 2014-07-22 Carlos P. Ortiz , Karen E. Daniels , Robert Riehn

A non-hydrostatic depth-averaged model for dry granular flows is proposed, taking into account vertical acceleration. A variable friction coefficient based on the $\mu(I)$ rheology is considered. The model is obtained from an asymptotic…

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