Filter results

Results (266)

Sort by:

Select all Select all

Page 1

Simeon Hubrich - The hierarchical finite cell method for nonlinear problems: Moment fitting quadratures, basis function removel, and remeshing

Partial access

Select

Simeon Hubrich

The hierarchical finite cell method for nonlinear problems: Moment fitting quadratures, basis function removel, and remeshing

Series: Mechanik/Bruchmechanik

Volume 355 2021

Results in this title

Summary and outlook S. 150-153

„… significantly. However, for nonlinear problems of the FCM, the moment fitting quadratures proved to be less …” „… Gauss-Legendre points performs robust for linear elastic applications of the FCM. For nonlinear problems, however …” „… behavior and thus the robustness of the FCM regarding nonlinear problems, one could focus on combining the …”

Introduction S. 1-5

„… robustness of the FCM are still a matter of ongoing research – especially in the field of nonlinear problems …” „… to further develop the FCM, in particular for nonlinear problems. To this end, we are focusing on …” „… robustness of the moment fitting quadratures for nonlinear problems of the FCM, an adaptive moment fitting …”

Titelei/Inhaltsverzeichnis

„… nonlinear problems: Moment fitting quadratures, basis function removel, and remeshing H ub ri ch H …” „… _Reihe_18_355_Umschlag.pdf · Seite 2 2 2 The hierarchical finite cell method for nonlinear problems …” „… 20.05.2021 08:03:26 Fortschritt-Berichte VDI The hierarchical finite cell method for nonlinear problems …”

Bibliography S. 154-169

„… . Düster, and E. Rank. The hp-d-adaptive finite cell method for geometrically nonlinear problems of solid …” „… . Düster, and E. Rank. The hp-d-adaptive finite cell method for geometrically nonlinear problems of solid …” „… nonlinear problems of the finite cell method using an adaptive scheme based on moment fitting. Computers …”

Basic elements of continuum mechanics S. 6-22

„… nonlinear problems in solid mechanics. To this end, we start with the kinematics of a deformable body and …” „… form For the analysis of quasi-static boundary value problems in nonlinear solid mechanics, in general …” „… . strain measures. Sec. 2.4 provides the strong as well as the weak form of the nonlinear boundary value …”

Moment fitting quadratures S. 36-78

„… nonlinear problems of the FCM, we propose an adaptive scheme using moment fitting. In this scheme, the …” „… robustness behavior for nonlinear problems as the adaptive Gaussian scheme. However, this is not generally …” „… nonlinear system. In [121] Mousavi and Sukumar applied the moment fitting approach together with Lasserre’s …”

A remeshing strategy for the FCM S. 124-149

„… 6 A remeshing strategy for the FCM For linear and nonlinear problems in small deformations the …” „… shape functions from the ansatz, as shown in the previous chapter. When considering problems in finite …” „… elements when considering problems in large deformations, however, is a well-known issue in the standard …”

Basis function removal for the FCM S. 79-123

„… fictitious domain. This is especially of interest for nonlinear problems – e.g. considering elastoplasticity …” „… moment fitting does not perform well for nonlinear problems of the FCM, we employ the adaptive moment …” „… to be scaled properly. For linear elastic problems of the FCM, this scaling process is applied by …”

The finite cell method S. 23-35

„… nonlinear problems in solid mechanics, approximation procedures have to be applied in order to solve the …” „… generation strategy for boundary value problems that possess a complex geometry – in contrast to …” „… problems in solid mechanics is not straightforward. Due to this reason, an efficient approach is to …”

doi.org/10.51202/9783186355188

Wadhah Garhuom - Improving the robustness of the finite cell method for problems with large deformations

No access

Select

Wadhah Garhuom

Improving the robustness of the finite cell method for problems with large deformations

Series: Mechanik/Bruchmechanik

Volume 359 2024

Results in this title

Bibliography S. 135-152

„… hierarchical finite cell method for nonlinear problems: moment fit-ting quadratures, basis function removel …” „… 201800089, 2018.[79] S. Hubrich and A. Düster. Numerical integration for nonlinear problems of thefinite …” „… method for elasto-plastic problems. Applied Mathematicsand Mechanics, 35(10):1239–1248, 2014.[6] I …”

Non-negative moment fitting quadrature for cut finite elements and cells S. 27-58

„… nonlinear problemssignificantly. However, the approach of the AMF leads to a considerably large numberof …” „… the domain decomposition is easy to implement and very robust for nonlinear applica-tions. Furthermore …” „… introduced by Huybrechs [87] forone-dimensional problems. The approach is extended as well by Legrain [111 …”

Introduction S. 1-5

„… system of equations, see [33, 89].Nevertheless, stabilizing the FCM for highly nonlinear problems under …” „… reasonableaccuracy and efficiency it has become the method of choice for solving problems that aretoo complex to be …” „… different methods. With such approaches, efficientcomputations for problems involving complicated geometries …”

Summary and outlook S. 130-133

„… non-negative momentfitting scheme is particularly robust for nonlinear applications. In comparison to theother …” „… stabilization technique for the finite cellmethod to enhance its robustness for linear and nonlinear large …” „… when applied to nonlinear simulations. In Chapter 6, we developed a novel remeshing technique for the …”

Titelei/Inhaltsverzeichnis

„… Fortschritt-Berichte VDIGarhuom, Wadhah, M.Sc.HamburgImproving the robustness of the finite cell method for problems …” „… problems withlarge deformationsVom Promotionsausschuss derTechnischen Universität Hamburgzur Erlangung des …” „… finite cell method for problems with large deformationsReihe 18Mechanik/BruchmechanikBlackL_240107_F51 …”

Eigenvalue stabilization technique to increase the robustness of the FCM S. 59-88

„… both linear and nonlinear problems by enhancing the condition number andcontrolling the solution within …” „… is adapted as well to the FCM to solve nonlinear problems of solidmechanics, see Garhuom and Düster …” „… hole.595 Eigenvalue stabilization technique to increase the robustness of the FCMIn nonlinear finite …”

doi.org/10.51202/9783186359186

Jorrid Lund - Partitioned Fluid-Structure Interaction Simulation of Maritime Applications

No access

Select

Jorrid Lund

Partitioned Fluid-Structure Interaction Simulation of Maritime Applications

Series: Mechanik/Bruchmechanik

Volume 360 2024

Results in this title

Structural mechanics S. 5-20

„… static problems.Nonetheless, a sufficiently high number of master nodes will still allow for a …” „… fluid mechanic problems,namely the finite volume method (FVM) and the boundary element method (BEM …” „… partitionedcoupling techniques to analyze the marine problems mentioned in Sec. 1.1. Numericalmethods such as …”

Bibliography S. 124-138

„… generalized-α methodfor non-linear dynamic problems, Computational Mechanics 28 (2) (2002) 83–104.doi:10.1007/s …” „… , O. S. Bursi, The analysis of the generalized-α methodfor non-linear dynamic problems, Computational …” „… . Boyle, Solvers for large-displacement fluid–structure interac-tion problems: segregated versus …”

Introduction S. 1-4

„… volumemethod (FVM), it is possible to accurately solve nonlinear dynamic problems with complexgeometries and …” „… ), and the finite volumemethod (FVM), it is possible to accurately solve nonlinear dynamic problems with …” „… for this purpose are focused on eithersolving fluid or structural problems.The development of FSI …”

Fluid mechanics S. 21-34

„… exact results with static condensation in this formulation for linear static problems.Nonetheless, a …” „… the corre-sponding methods that are commonly used for the simulation of fluid mechanic problems,namely …” „… ) and (3.33) give a set of nonlinear implicit equations that must be solved si-multaneously with an …”

Ship propeller S. 81-117

„… for these highly nonlinear and non-differentiable problems.Optimization problems generally require …” „… non-differentiable problems.Optimization problems generally require certain properties of the optimization algorithm …” „… other derivative operators [123, p. 195].When considering complex problems, such as the numerical …”

Titelei/Inhaltsverzeichnis

„… . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152.5.3 Generalized alpha method . . . . . . . . . . . . . . . . . . . . . . . 172.6 Solution of nonlinear …” „… . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152.5.3 Generalized alpha method . . . . . . . . . . . . . . . . . . . . . . . 172.6 Solution of nonlinear …” „… theoretical basis for the simulation of fluid and structural problems is introduced– in combination with the …”

doi.org/10.51202/9783186360182

Martin Ralf Münster - Systematic Derivation of Objective Requirements on Vehicle Steering System

No access

Select

Martin Ralf Münster

Systematic Derivation of Objective Requirements on Vehicle Steering System

Series: Verkehrstechnik/Fahrzeugtechnik

Volume 819 2023

Results in this title

Bibliography S. 195-204

„… Problems”.In: Journal of Manufacturing Science and Engineering 84.1 (1962), pp. 21–34.[79] Moorhouse, A. T …” „… StructuralModification Problems”. In: Shock and Vibration 11.3 (2004), pp. 295–309.[23] Dahl, P. R. A Solid Friction …” „… Domain Decomposition Method for TheSolution of Partially Axisymmetric Acoustic Scattering Problems. Part …”

Conclusion S. 189-194

„… the problem ofsteering vibration, which makes the method applicable to many practical problems.8.1.1 …” „… , which reveal some nonlinear behavior of both thesteering and the front axle depending on the respective …” „… of requirement derivation isapplied in this work to both linear and nonlinear behavior of the …”

Resulting Subsystem Requirements S. 123-152

„… linear or nonlinear dynamics.Both cases will be addressed in the following two sections of this chapter …” „… conceptual layout. The6.2 Nonlinear Case 131design relevant front-axle dynamics are strongly interdependent …” „… thedamping within that particular frequency range.6.2 Nonlinear CaseIn the preceding section, the relevant …”

Introduction S. 1-12

„… application of Solution Spaces to high-dimensional problems for thedesign of mechanical structures are given …” „… toolate for solving vibrational problems efficiently.Appropriate methods are needed therefore, which are …” „… completestructure can be predicted easily by assembling the dynamics of all substructures.Common problems handled …”

Requirement-Based Module Design Using Solution Spaces S. 153-188

„… toconcrete design problems of, e. g., the steering and front-axle subsystems design, can be welldemonstrated …” „… neural network describes a way of doing nonlinear modeling of a set of inputs intooutputs. It consists of …” „… neuron”. Both defined a nonlinear relation between the inputs andoutputs from the model, but it was only …”

Substructuring the Vehicle Steering S. 13-34

„… substructuring originates from dealing with “big problems” by dividing theminto smaller subsystems, which are …” „… aspect is important to “top-down” problems with sparse descriptionof the desired dynamics. In such cases …” „… linear, however for slightly nonlinear systemsfairly good results are still obtained, as will be shown in …”

Titelei/Inhaltsverzeichnis

„… . . . . . . . . . . . . . . . . . 1306.2 Nonlinear Case . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1316.2.1 …” „… Nonlinear Requirement Derivation . . . . . . 150Contents VII7 Requirement-Based Module Design Using Solution …” „… werden Methoden derSubstrukturtechnik im Frequenzbereich auf die Problemstellung angewandt.Im Verlauf der …”

doi.org/10.51202/9783186819123

Jörg Krüger, Eckart Uhlmann, Armin Lechler, Alexander Verl, Oliver Riedel - Algorithmik und KI für moderne Robotterapplikationen – ein Überblick

No access

Select

Christian Brecher (ed.), Werner Herfs (ed.), Oliver Petrovic (ed.), Jörg Krüger, Eckart Uhlmann, Armin Lechler, Alexander Verl, Oliver Riedel

Algorithmik und KI für moderne Robotterapplikationen – ein Überblick

Series: Fertigungstechnik

Volume 710 2023

Results in this title

M. Trinh, L. Gründel, O. Petrovic, W. Herfs, C. Brecher Reibungsmodellierung und -kompensation für hochdynamische roboterbasierte Fertigungsprozesse S. 32-42

„… inverse problems involving nonlinear partial differential equations. In: Journal of Computational Physics …” „… ability to model dynamic nonlinear and position dependent friction effects as well as temperature and load …” „… Parameters Identification of an Industrial Robot: A Constrained Nonlinear WLS Approach. In: Proceedings of 26 …”

doi.org/10.51202/9783186710024

1

2 3 ... 54