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Xiao Zhao - Reactor network synthesis with guaranteed robust performance

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Xiao Zhao

Reactor network synthesis with guaranteed robust performance

Series: Verfahrenstechnik

Volume 952 2017

Results in this title

Summary and outlook S. 133-140

„… presented in this work, in particular to the analysis of the eigenvalue constraints for reactor network …” „… constraints guarantee the dynamic properties of stability and response speed in this work. The spectral …” „… therefore results in the so-called eigenvalue constraint for the design of dynamic systems with specified …”

Solution methods S. 60-106

„… , complementarities, uncertain parameters and eigenvalue constraints. To the author’s knowledge, there do not exist …” „… nonlinear objective function and/or constraints. A general form of a MINLP is min f(x, y) s.t. g(x, y) ≤ 0 …” „… and the constraints of a MINLP, we can classify it into either convex or non-convex MINLP. Problem …”

Bibliography S. 158-176

„… programming approaches to mathematical programs with complementarity constraints. SIAM Journal on Optimization …” „… with equilibrium constraints: global convergence and stationarity properties. Mathematical Programming …” „… . Scholtes. A two-sided relaxation scheme for mathematical programs with equilibrium constraints. SIAM …”

Simultaneous design of reactor network and its decentralized control system S. 47-59

„… modeling and a problem formulation section. In the modeling section, we use complementarity constraints and …” „… section, we first propose a robust eigenvalue constraint to ensure desired dynamic properties of the …” „… closed-loop reactor network. Then we use this constraint to formulate a semi-infinite MINLP for determining …”

Introduction S. 1-16

„… reaction stoichiometry, rate laws, a desired objective and system constraints, what is the optimal reactor …” „… the operating constraints and their propagations through the process flowsheet [179]. Process-oriented …” „… constraints for dynamic properties Another feature of this work is to ensure dynamic properties, namely …”

Titelei/Inhaltsverzeichnis

„… , Integration of process and control system design, Superstructure approach, Eigenvalue constraints …” „… . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 3.2.1 Eigenvalue constraint for open-loop reactor network synthesis . . . 40 3.2.2 Continuity …” „… analysis of the proposed eigenvalue constraint . . . . . . 41 3.2.3 A direct problem formulation …”

Case study of allyl chloride production S. 107-132

„… eigenvalue constraint. This problem is in the form of Eq. (3.44) but without constraint (3.44c) and …” „… the superstructure. The triangular points refer to the nominal designs without eigenvalue constraints …” „… unstable. The square points refer to the optimal designs with eigenvalue constraints, which are robustly …”

Open-loop reactor network synthesis S. 30-46

„… formulating an optimization problem in the next section. 3.2 Problem formulation 3.2.1 Eigenvalue constraint …” „… present an eigenvalue constraint only for non-idle reactors, which will be used in the problem formulation …” „… reactors in the network. So an eigenvalue constraint for guaranteeing dynamic properties of the openloop …”

Appendices S. 141-157

„… (x̄) minimizes the objective function g(x̄, v) subject to constraints (D.1b)-(D.1c), evaluated at x …” „… = {1, · · · , N} and J = {1, · · · ,M} as the index sets for equality and inequality constraints …” „… . Denote A(x, v) = {j ∈ J | lj(x, v) = 0} (D.2) as the index set of active inequality constraints, which …”

Some Preliminaries S. 17-29

„… the constraint on the SA, αA(x)(x) = max i=1,··· ,m Re(λi(x)) < 0 (2.16) holds for x = x∗. λi(x), i …” „… eigenvalue constraint (2.17) can be used to guarantee specified response speed of nonlinear system (2.1). The …”

doi.org/10.51202/9783186952035

VDI Wissensforum GmbH - Schwingungen von Windenergieanlagen 2019

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VDI Wissensforum GmbH (ed.)

Schwingungen von Windenergieanlagen 2019

Series: VDI-Berichte

Volume 2346 2019

Results in this title

C. Schwarz, C. Schulz Indirect Model Predictive Control and its Impact on the Fatigue Strength of the Drivetrain S. 171-182

„… sampling time and allows to directly incorporate inequality constraints when finding a control function [1 …” „… . time points on the prediction horizons, for which constraints on the states get active or inactive …” „… constraints and the vector is called state constraints. Indirect methods are used in the following to solve …”

doi.org/10.51202/9783181023464

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wt Werkstattstechnik online

Browse Volumes: wt Werkstattstechnik online

wt Volume 110 (2020) Issue 11-12 ISSN Online: 1436-4980

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Sebastian Berger, Jannis Saelzer, Dirk Biermann Gezielte Begrenzung der Spandickenschwankungen/Development of a counter element for influencing chip formation when machining titanium. Restriction of chip thickness deviations S. 806-810

„… von Segmentspänen durch den Einsatz eines Gegenkörpers, dem sogenannten Constraint, zu realisieren …” „… . Der Constraint wird dabei am Ende der primären Scherzone an der freien Werkstückoberfläche …” „… Wirkungen beim Einsatz des Constraints stehen gesteigerte mechanische Werkzeugbelastungen gegenüber, die zu …”

doi.org/10.37544/1436-4980-2020-11-12

VDI Wissensforum GmbH - Dritev – Drivetrain for Vehicles 2020

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VDI Wissensforum GmbH (ed.)

Dritev – Drivetrain for Vehicles 2020

Series: VDI-Berichte

Volume 2373 2020

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D. Evenschor, P. Tenberge, M. Wolkerstorfer Package-optimized configuration of transmission elements for automated design concepts – Design concept generation based on results of transmission synthesis

„… dimensioning the gear-box elements and positioning them in the constraint space is divided into three nested …” „… constraint space; and c) the element dimensioning (ED) problem of linearly combining the sizes of the stages …” „… obtained by the AGEP subproblem) and obeying feasibility of positioning the gear-box inside the constraint …”

P. Schwanemann, T. Pfund Market-driven electric motor designs from Schaeffler – Optimized electric motor design process via technology and production kits

„… have this constraint in the same strength. Thus said, this constraint is only relevant for small …” „… . Further the constraint is only based on the state of art wave winding technology. Anyhow this constraint …” „… of those stators where the previously explained constraints regarding the needed size for radial …”

C. A. Spangler Borg Warner’s P1 and P2 hybrid drive modules – Modular kit for P1 and P2 hybrids

„… length of the system. Based on these constraints an off-axis system was developed utilizing a number of …” „… for a new high efficiency dual clutch transmission design. Based on these constraints an on-axis …” „… . Based on these constraints an on-axis system was developed utilizing a number of components from the …”

S. Rothe, B. Schröder, G. Lührs Coupled topology optimization of an electric drive

„… structure of the objective function and the corresponding constraints are formed. In the forthcoming, the …” „… objective function, constraints are necessary to fulfill the machine requirements. The EMF has to be …” „… the magnet and iron area constraints are added too. Finally, the optimization concept is available …”

A. Manelli, F. Filippo Irato, C. Cavallino, R. Gay e-FDU: Concept, develop & industrialization of a novel P4 powertrain – From concept to industrialization of a novel P4 powertrain in 24 month

„… installation constraints and introduction of new features to allow a more controllable system. Dana Graziano …” „… constraints (i.e. steering rack, air conditioning circuit, etc…). To meet all these targets a symmetric …”

A. Esser, T. Eichenlaub, S. Rinderknecht Real-driving-based comparison of the eco-impact of powertrain concepts using a data-driven optimization environment

„… concepts has been introduced for this purpose. For given scenarios and required design constraints of the …” „… demand imposed by the driving cycle, technology neutral design constraints are defined for all …” „… error that fulfil the elevation constraint. As expected, the driving cycles of the clusters for higher …”

P. Ramet Dedicated hybrid transmissions (DHT) by PUNCH Powerglide – Innovative concepts for optimized DHT in terms of efficiency, cost and packaging

„… open. However, their use brings new constraints on transmission concepts. Engagement and disengagement …”

K. Sabzewari, M. Vieracker, J. Sagstetter Cost efficient PHEV powertrain solution based on dedicated hybrid transmission – Cost efficiency for small and mid-size plug in hybrid vehicle

„… PHEV package constraints. Consequently, a cost-efficient ICE with simplified requirements is applied …”

doi.org/10.51202/9783181023730

VDI Wissensforum GmbH - International Conference on Gears 2023

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VDI Wissensforum GmbH (ed.)

International Conference on Gears 2023

Series: VDI-Berichte

Volume 2422 2023

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J. I. Pedrero, M. Pleguezuelos, M. B. Sánchez Analysis of the tip interference in low gear ratio internal spur gears with profile modification S. 957-974

„… 𝛼 2 atan(13) Operating constraintsSome constraints should be regarded for the proper operation of …” „… avoid tip interference is: VDI-Berichte Nr. 2422, 2023 963(27) Analysis of the constraintsAll the …” „… the root profile. Of course, the obvious constraint should be regarded. In addition, the greater the …”

D. Park, A. Rezayat, Y. Gwon Design optimization of multi-stage gear trains with asymmetric teeth under a broad range of torques by incorporating multibody simulations S. 383-396

„… simultaneously satisfying multiple constraints. HEEDS identifies optimal solutions within a given design space …” „… , 500} Nm) applied to both power flows. Constraints The design constraints in this study are as follows …” „… degree to which a design satisfies its constraints together determine the design’s performance value. A …”

B.-S. Kim, D. Im, J.-H. Park, W.-J. Chung, Y.-J. Park Development of Optimal Design Program for Macro-Geometry of Planetary Gear Set using Multi-Objective Optimization Algorithm S. 1181-1194

„… various performance parameters as objective and constraint fuctions, a good initial design can be obtained …” „… as a different combination of objective and constraint fuctions. Recently, Non-Dominated Sorting …” „… (19)𝑃 (20)𝑃 (21)2.3. Constraint functions The constraints imposed on the assembly of planetary gear set …”

S. Chen, C. Liu, D. Qin Forward Performance-driven Design of Gear Parameters S. 211-226

„… development direction for gear nowadays, but the current research only takes load capacity as a constraint …” „… , the complete gear parameters and constraints considered, and the accurate gear profile is generated …” „… as the direct design target of tooth root bending stress. Fig. 5: Finite Element Load and Constraint …”

J.-H. Park, B.-S. Kim, D. Im, D.-J. Moon, J.-H. Kim, Y.-J. Park Development of Damage-based Accelerated Life Test Code for Gearbox using Genetic Algorithm S. 329-340

„… %. The constraint condition for optimization was set to 𝑑 𝑠𝑒 ~ 𝑑 𝑠𝑒 duration (hours), lower bound …” „… . Through the results, it was confirmed that setting the constraint hours of the original duty cycle is …” „… that setting the duty cycle duration constraint value was important to reduce the error. Through this …”

E. Grabovic, A. Artoni, M. Gabiccini, E. Ciulli Exploration of trade-offs between NVH and efficiency in bevel gear design S. 853-880

„… constraints are prescribed. Application to a test case involving the design of a spiral bevel gearset reveals …” „… for the calculation of objective functions and constraints. The LTCA solver, by being finite …” „… loss (in percentage points). The following nonlinear constraint needs to be satisfied: VDI-Berichte Nr …”

W. Wagner, S. Schumann, B. Schlecht The relevance of pinion deflection and twisting for loaded tooth contact analysis of high reduction hypoid gears S. 829-838

„… pressure and maximum displacement in each contact area change as a dependend on the constraint variant. The …” „… left diagram in Fig. 5 shows that the pressure maximum hardly changes due to the different constraint …”

C. Karampatzakis, A. Mihailidis, A. Mantzaflaris, C. Provatidis Contact simulation of tooth flanks using Isogeometric Analysis S. 413-428

„… and greater elsewhere, i.e. 0. This constraint is enforced with the penalty method. A penalty …” „… appro-priate loading for this case, but this would require a constraint on the pinion so that it only rotates …” „… around its center. Unfortunately, this sort of constraint mechanism is not yet support-ed in G+Smo. A …”

M. J. Herberger, F. Rudolph, B. Sievers Efficient concepts for high ratio angular gearboxes S. 801-814

„… Under constraints, which are typical for the industrial gearbox design, the load-dependent gearing …” „… design constraints like keeping the offset constant for different ratios and aim-ing for a stage with a …”

I. Gonzalez-Perez, A. Fuentes-Aznar, J. Calvo-Irisarri, N. Bilbao-Handley, X. Lopez-Fuentes, A. Fernandez-Sison Evaluation of the effect of the rim thickness on the root stress cycle of helical planet gears with integrated rollers S. 553-568

„… rollers). It is observed that as the rim is less constraint to deform, the compressive stresses increase …” „… constraint [21] between element-based surfaces. In Figure 5, a torque is applied to the reference node of the …”

H. Mahe Model based NVH design: e-bike application S. 1229-1238

„… constraints, high torsional resolution sensors are difficult to implement to measure gear torsional …”

D. Matsuura, D. Hashioka, T. Kobayashi, H. Maki Generation Method of Polygonal Shaped Work Pieces Based on Gear Meshing Theory S. 1631-1640

„… 2-X2Y2Z2 fixed to the tool, and [Right] Shemetic illustration of the constraint between a normal …”

F. Mieth, D. Tazir Local load capacity analysis for the design of a balanced flank modification for cylindrical gears according to bevel gear procedures S. 927-944

„… ! Verweisquelle konnte nicht gefunden werden.. The shaft constraints are also taken into account here. As a result …” „… : FE wheel body (blue) and FE shaft constraint (red), pressure distribution with consideration of the …”

J. D. M. Marafona, J. H. O. Seabra, P. M. T. Marques, R. C. Martins Effect of overlap ratio on gear dynamic behavior and noise level S. 1239-1256

„… Concerning the constraints imposed, they are the limitation of the contact ratio, imposition of the gear …” „… objective function while satisfying the constraints, the calculated safety factors tend to the imposed …”

C. Westphal, J. Brimmers, C. Brecher Influence of Axis Misalignments in Stepped Planetary Gear Stages on the Excitation Behavior – Test Rig Development and Simulative Analysis S. 175-190

„… eccentricities. In addition, the sun shaft is constraint to the input shaft for another simulation series, so …” „… misalignments with the same amplitude. The constraint of the sun shaft leads to a smaller radius of the sun …”

J. König, M. Obermayr, T. Klein Digitalization of the Gear Development Process – Chances, Benefits and Risks S. 1017-1026

„… confidentiality must be assured as well as other legal constraints, such as export laws. On the other hand, the …”

L. Bonaiti, M. Brambilla, P. Chiariotti, A. Cigada, C. Gorla, G. Boni, P. Codeluppi The effect of pinion axial positioning on noise and transmission error of face hobbed and face milled bevel gears S. 839-852

„… experienced during that test condition and the tight time constraints that prevented the repetition of the …”

B. Guilbert, D. Dureisseix, P. Velex Hybrid models for the simulation of displacements and stresses in lightweight gears S. 315-328

„… a Multi-Point Constraint (MPC) method in order to connect the nodes at the shaft/bearing interface …”

J. Langhart, S. Ebrahimi, T. Kelichhaus A comparison of time and frequency domain approaches for NVH S. 583-598

„… modes is set to 0.02. The eigenfrequencies of the housing are calculated with the constraint, that …”

M. Vivet, A. Rezayat, J. Verhoogen, K. Kucukcoskun, S. Donders Numerical analysis of bevel gear transmission acoustic emission using a 3D gear contact force model within a multibody system dynamics simulation environment S. 689-702

„… together by kinematic constraints (e.g. joints) and have forces acting between them. Gearbox model …”

G. Vasileiou, C. Vakouftsis, C. Kalligeros, V. Spitas, C. Papalexis, A. Tsolakis, P. Zalimidis Continuous prestressed reinforcement of plastic gear teeth and its effect on bending strength vs conventional reinforcement S. 1375-1388

„… , environmental factors and manufacturing constraints. The fibers can be either short [15, 17-18] or long and …”

C. Kirchhoff, P. Tenberge Optimization of the vibrational behavior of ZI crossed helical gears with a plastic wheel and a steel worm S. 1419-1434

„… nodes. [1] Fig. 12: FE-model with constraints and applied load [1] 5. Automated calculation of the …”

G. Guimarães, L. Robatto, R. Rego, A. Faria, A. Borille, J. Mascheroni Surface integrity of 20MnCr5 pinion gears manufactured through laser powder bed fusion S. 1845-1858

„… technologies in additive manufacturing (AM), allowing the designer to think beyond traditional constraints. On …”

D. Gallagher, E. Wiita, R. Weidig Improved Method for Validation of Root Stress in Polymer Gears S. 1333-1350

„… processes, meaning the resulting tooth profile is free from the constraints of kinematic generation and the …”

doi.org/10.51202/9783181024225

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