PUMA publications for /tag/journalhttps://puma.ub.uni-stuttgart.de/tag/journalPUMA RSS feed for /tag/journal2024-03-30T09:26:34+01:00A synchronization-based state observer for impact oscillators using only collision time informationhttps://puma.ub.uni-stuttgart.de/bibtex/24aa2c2df2e11e96673b8c0d9e747ff67/inminm2022-03-22T14:39:07+01:00from:rleine imported journal leine <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="M. Baumann" itemprop="url" href="/person/1e2319b98125a65ac2a62a8ba915c5942/author/0"><span itemprop="name">M. Baumann</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="R. I. Leine" itemprop="url" href="/person/1e2319b98125a65ac2a62a8ba915c5942/author/1"><span itemprop="name">R. Leine</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">International Journal of Robust and Nonlinear Control</span>, </em> </span>(<em><span>2016<meta content="2016" itemprop="datePublished"/></span></em>)</span>Tue Mar 22 14:39:07 CET 2022International Journal of Robust and Nonlinear Control2542--2563A synchronization-based state observer for impact oscillators using only collision time information262016from:rleine imported journal leine Stick-slip whirl interaction in drillstring dynamicshttps://puma.ub.uni-stuttgart.de/bibtex/208adcbe6c136384419c6fac5d378b901/inminm2022-03-22T14:39:07+01:00from:rleine imported journal leine <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="R. I. Leine" itemprop="url" href="/person/1bec788a217f034350b8f133c26e03651/author/0"><span itemprop="name">R. Leine</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="D. H. van Campen" itemprop="url" href="/person/1bec788a217f034350b8f133c26e03651/author/1"><span itemprop="name">D. van Campen</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="W. J. G. Keultjes" itemprop="url" href="/person/1bec788a217f034350b8f133c26e03651/author/2"><span itemprop="name">W. Keultjes</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">ASME Journal of Vibration and Acoustics</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">124 </span></span>(<span itemprop="issueNumber">2</span>):
<span itemprop="pagination">209--220</span></em> </span>(<em><span>2002<meta content="2002" itemprop="datePublished"/></span></em>)</span>Tue Mar 22 14:39:07 CET 2022ASME Journal of Vibration and Acoustics2209--220Stick-slip whirl interaction in drillstring dynamics1242002from:rleine imported journal leine Discontinuous fold bifurcationshttps://puma.ub.uni-stuttgart.de/bibtex/2c3b76dabc18113af689029ebca4cc810/inminm2022-03-22T14:39:07+01:00from:rleine imported journal leine <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="R. I. Leine" itemprop="url" href="/person/1467264b3e2aac85a971aeaf1bac036cf/author/0"><span itemprop="name">R. Leine</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="D. H. van Campen" itemprop="url" href="/person/1467264b3e2aac85a971aeaf1bac036cf/author/1"><span itemprop="name">D. van Campen</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Systems Analysis Modelling Simulation</span>, </em> </span>(<em><span>2003<meta content="2003" itemprop="datePublished"/></span></em>)</span>Tue Mar 22 14:39:07 CET 2022Systems Analysis Modelling Simulation321--332Discontinuous fold bifurcations432003from:rleine imported journal leine Snake robot obstacle-aided locomotion: Modeling, simulations, and experimentshttps://puma.ub.uni-stuttgart.de/bibtex/2a9eae6c8cdb877f36cfb2b91f9825778/inminm2022-03-22T14:39:07+01:00from:rleine imported journal leine <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="A. A. Transeth" itemprop="url" href="/person/1e2f69c47a4394b4fe2f667e19ebf1b4a/author/0"><span itemprop="name">A. Transeth</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="R. I. Leine" itemprop="url" href="/person/1e2f69c47a4394b4fe2f667e19ebf1b4a/author/1"><span itemprop="name">R. Leine</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="C. Glocker" itemprop="url" href="/person/1e2f69c47a4394b4fe2f667e19ebf1b4a/author/2"><span itemprop="name">C. Glocker</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="K. Y. Pettersen" itemprop="url" href="/person/1e2f69c47a4394b4fe2f667e19ebf1b4a/author/3"><span itemprop="name">K. Pettersen</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="P. Liljebäck" itemprop="url" href="/person/1e2f69c47a4394b4fe2f667e19ebf1b4a/author/4"><span itemprop="name">P. Liljebäck</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">IEEE Transactions on Robotics</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">24 </span></span>(<span itemprop="issueNumber">1</span>):
<span itemprop="pagination">88--104</span></em> </span>(<em><span>2008<meta content="2008" itemprop="datePublished"/></span></em>)</span>Tue Mar 22 14:39:07 CET 2022IEEE Transactions on Robotics188--104Snake robot obstacle-aided locomotion: {M}odeling, simulations, and experiments242008from:rleine imported journal leine The direct method of Lyapunov for nonlinear dynamical systems with fractional dampinghttps://puma.ub.uni-stuttgart.de/bibtex/2cb10f7e2b6970157db165bd049a3d39b/inminm2022-03-22T14:39:07+01:00imported journal inm leine from:rleine project_hinze <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="M. Hinze" itemprop="url" href="/person/15333381f402f880229d6c82917c05ef7/author/0"><span itemprop="name">M. Hinze</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="A. Schmidt" itemprop="url" href="/person/15333381f402f880229d6c82917c05ef7/author/1"><span itemprop="name">A. Schmidt</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="R. I. Leine" itemprop="url" href="/person/15333381f402f880229d6c82917c05ef7/author/2"><span itemprop="name">R. Leine</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Nonlinear Dynamics</span>, </em> </span>(<em><span>2020<meta content="2020" itemprop="datePublished"/></span></em>)</span>Tue Mar 22 14:39:07 CET 2022Nonlinear Dynamics2017--2037The direct method of {Lyapunov} for nonlinear dynamical systems with fractional damping1022020imported journal inm leine from:rleine project_hinze In this paper, we introduce a generalization of Lyapunov’s direct method for dynamical systems with fractional damping. Hereto, we embed such systems within the fundamental theory of functional differential equations with infinite delay and use the associated stability concept and known theorems regarding Lyapunov functionals including a generalized invariance principle. The formulation of Lyapunov functionals in the case of fractional damping is derived from a mechanical interpretation of the fractional derivative in infinite state representation. The method is applied on a single degree-of-freedom oscillator first, and the developed Lyapunov functionals are subsequently generalized for the finite-dimensional case. This opens the way to a stability analysis of nonlinear (controlled) systems with fractional damping. An important result of the paper is the solution of a tracking control problem with fractional and nonlinear damping. For this problem, the classical concepts of convergence and incremental stability are generalized to systems with fractional-order derivatives of state variables. The application of the related method is illustrated on a fractionally damped two degree-of-freedom oscillator with regularized Coulomb friction and non-collocated control.Model reduction of the tippedisk: a path to the full analysishttps://puma.ub.uni-stuttgart.de/bibtex/2d55c2b4bc1706be02fe2696614d1fe1d/inminm2022-03-22T14:39:07+01:00imported journal inm leine from:rleine project_sailer <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="S. Sailer" itemprop="url" href="/person/1e497d7e95b21af2c1119c911492130bc/author/0"><span itemprop="name">S. Sailer</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="R. I. Leine" itemprop="url" href="/person/1e497d7e95b21af2c1119c911492130bc/author/1"><span itemprop="name">R. Leine</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Nonlinear Dynamics</span>, </em> </span>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Tue Mar 22 14:39:07 CET 2022Nonlinear Dynamics1955--1975Model reduction of the tippedisk: a path to the full analysis1052021imported journal inm leine from:rleine project_sailer The tippedisk is a mechanical-mathematical archetype for friction-induced instability phenomena that exhibits an interesting inversion phenomenon when spun rapidly. The inversion phenomenon of the tippedisk can be modeled by a rigid eccentric disk in permanent contact with a flat support, and the dynamics of the system can therefore be formulated as a set of ordinary differential equations. The qualitative behavior of the nonlinear system can be analyzed, leading to slow fast dynamics. Since even a freely rotating rigid body with six degrees of freedom already leads to highly nonlinear system equations, a general analysis for the full system equations is not feasible. In a first step the full system equations are linearized around the inverted spinning solution with the aim to obtain a local stability analysis. However, it turns out that the linear dynamics of the full system cannot properly describe the qualitative behavior of the tippedisk. Therefore, we simplify the equations of motion of the tippedisk in such a way that the qualitative dynamics are preserved in order to obtain a reduced model that will serve as the basis for a following nonlinear stability analysis. The reduced equations are presented here in full detail and are compared numerically with the full model. Furthermore, using the reduced equations we give approximate closed form results for the critical spinning speed of the tippedisk.The Tippedisk: a Tippetop without rotational symmetryhttps://puma.ub.uni-stuttgart.de/bibtex/239c57faa1bb7335a54b37e2c6387bc0e/inminm2022-03-22T14:39:07+01:00imported journal inm leine from:rleine eugster project_sailer <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="S. Sailer" itemprop="url" href="/person/1f49830b3c0bed2b88f9b5bbdb40774f3/author/0"><span itemprop="name">S. Sailer</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="S. R. Eugster" itemprop="url" href="/person/1f49830b3c0bed2b88f9b5bbdb40774f3/author/1"><span itemprop="name">S. Eugster</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="R. I. Leine" itemprop="url" href="/person/1f49830b3c0bed2b88f9b5bbdb40774f3/author/2"><span itemprop="name">R. Leine</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Regular and Chaotic Dynamics</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">25 </span></span>(<span itemprop="issueNumber">6</span>):
<span itemprop="pagination">553--580</span></em> </span>(<em><span>2020<meta content="2020" itemprop="datePublished"/></span></em>)</span>Tue Mar 22 14:39:07 CET 2022Regular and Chaotic Dynamics6553--580The {T}ippedisk: a {T}ippetop without rotational symmetry252020imported journal inm leine from:rleine eugster project_sailer The aim of this paper is to introduce the tippedisk to the theoretical mechanics community as a new mechanical-mathematical archetype for friction induced instability phenomena. We discuss the modeling and simulation of the tippedisk, which is an inhomogeneous disk showing an inversion phenomenon similar but more complicated than the tippetop. In particular, several models with different levels of abstraction, parameterizations and force laws are introduced. Moreover, the numerical simulations are compared qualitatively with recordings from a high-speed camera. Unlike the tippetop, the tippedisk has no rotational symmetry, which greatly complicates the three-dimensional nonlinear kinematics. The governing differential equations, which are presented here in full detail, describe all relevant physical effects and serve as a starting point for further research.Set-valued anisotropic dry friction laws: formulation experimental verification and instability phenomenonhttps://puma.ub.uni-stuttgart.de/bibtex/22ed401767152f72e1f4e2009c46480e1/inminm2022-03-22T14:39:07+01:00imported journal inm project_walker leine from:rleine <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="S. V. Walker" itemprop="url" href="/person/121512aa50e0cda8d10b3cf91b615214e/author/0"><span itemprop="name">S. Walker</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="R. I. Leine" itemprop="url" href="/person/121512aa50e0cda8d10b3cf91b615214e/author/1"><span itemprop="name">R. Leine</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Nonlinear Dynamics</span>, </em> </span>(<em><span>2019<meta content="2019" itemprop="datePublished"/></span></em>)</span>Tue Mar 22 14:39:07 CET 2022Nonlinear Dynamics885--920Set-valued anisotropic dry friction laws: formulation experimental verification and instability phenomenon962019imported journal inm project_walker leine from:rleine Many technical applications, such as brakes and metal forming processes, are affected by anisotropic frictional behavior, where the magnitude and the direction of the friction force are dependent on the sliding direction. Existing dry friction laws do not sufficiently describe all relevant macroscopic aspects of anisotropic friction, and the influence on the dynamics of mechanical systems is largely unknown. Furthermore, previous experimental work on anisotropic friction is limited and the fact that the friction force is not always acting parallel to the sliding direction is often neglected. In this paper, an anisotropic dry friction law with the capability to describe the nonsmooth behavior of stick and slip and allowing for non-convex but star-shaped sets of admissible friction forces is formulated using tools from convex analysis. The formulation of the friction law as normal cone inclusion enables the direct implementation in numerical time-stepping schemes. The stability of systems with anisotropic friction is studied and an eigenvalue analysis reveals that the anisotropic friction law is in theory capable of causing anisotropic friction-induced instability. In addition, experimental setups for detailed investigations of the frictional behavior are described. The measurements reveal complex shaped force reservoirs and confirm the validity of the presented friction law. Finally, it is shown that the presented friction law leads to a more accurate prediction of the motion of nonsmooth mechanical systems.A method for numerical and experimental nonlinear modal analysis of nonsmooth systemshttps://puma.ub.uni-stuttgart.de/bibtex/24739a2090ceae52c3bcb6e59552ddd8f/inminm2022-03-22T14:39:07+01:00imported journal project_schreyer inm leine from:rleine project_peter <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="S. Peter" itemprop="url" href="/person/1fa55e824bbeaa98ebb8723848e24d5a4/author/0"><span itemprop="name">S. Peter</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="F. Schreyer" itemprop="url" href="/person/1fa55e824bbeaa98ebb8723848e24d5a4/author/1"><span itemprop="name">F. Schreyer</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="R. I. Leine" itemprop="url" href="/person/1fa55e824bbeaa98ebb8723848e24d5a4/author/2"><span itemprop="name">R. Leine</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Mechanical Systems and Signal Processing</span>, </em> </span>(<em><span>2019<meta content="2019" itemprop="datePublished"/></span></em>)</span>Tue Mar 22 14:39:07 CET 2022Mechanical Systems and Signal Processing793--807A method for numerical and experimental nonlinear modal analysis of nonsmooth systems1202019imported journal project_schreyer inm leine from:rleine project_peter The development of nonlinear modal analysis so far has focused on structures with smooth nonlinearities. However, nonsmooth nonlinearities, which are, for instance, caused by contact interactions are highly relevant in practical applications. This paper proposes a novel numerical approach along with a method for the measurement of nonlinear modes of structures with nonsmooth contact nonlinearities.
The proposed numerical method combines the shooting method and the harmonic balance method, yielding a mixed time-frequency domain representation of the system, allowing for an efficient treatment of the nonsmooth contact law within the numerical approach. Moreover, the mass of the system is redistributed such that the contact nodes are massless. Thereby, the dynamic contact problem can be reduced to a quasi-static contact problem. A salient feature of this numerical approach is that the contact problems are solved without the need for any contact parameters, such as penalty or restitution coefficients. Furthermore, the conservative nature of the contact law incorporated in this formulation allows for the calculation of nonlinear modes as periodic solutions of conservative systems.
The experimental method relies on a nonlinear phase resonance approach. Hitherto, phase resonance methods have exclusively been applied to systems with smooth nonlinearities. In this study, an automated nonlinear phase resonance approach with phase-controlled excitation is used, providing a robust experimental procedure, which facilitates the treatment of strong nonsmooth nonlinearities, e.g., caused by unilateral constraints inducing impacts.
The numerical and experimental methods are demonstrated by an application to a benchmark structure consisting of a beam with one-sided support leading to impacts. It is shown that the numerical method can be applied without the need for any nonlinear system identification effort and the results agree well with the measured nonlinear modes.A maximal monotone impact law for the 3-ball Newton's cradlehttps://puma.ub.uni-stuttgart.de/bibtex/2717671244bbbc2352deb985c298abc08/inminm2022-03-22T14:39:07+01:00from:rleine imported journal leine <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="T. Winandy" itemprop="url" href="/person/18e3fee841fa35facaf92781e48a4c438/author/0"><span itemprop="name">T. Winandy</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="R. I. Leine" itemprop="url" href="/person/18e3fee841fa35facaf92781e48a4c438/author/1"><span itemprop="name">R. Leine</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Multibody System Dynamics</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">39 </span></span>(<span itemprop="issueNumber">1--2</span>):
<span itemprop="pagination">79--94</span></em> </span>(<em><span>Januar 2017<meta content="Januar 2017" itemprop="datePublished"/></span></em>)</span>Tue Mar 22 14:39:07 CET 2022Multibody System Dynamicsjan1--279--94A maximal monotone impact law for the 3-ball {N}ewton's cradle392017from:rleine imported journal leine