Multiobjective Optimization for CFD and Finite Element Based Multiphysics

Multiobjective optimization involves minimizing or maximizing multiple objective functions subject to a set of constraints. Example problems include analyzing design tradeoffs, selecting optimal product or process designs, or any other application where you need an optimal solution with tradeoffs between two or more conflicting objectives. Our Engineers save time and improve products by optimizing them against performance or cost metrics through statistical methods, such as Design of Experiments (DOE) or Design for Six Sigma. Virtual prototyping is necessary for cost efficiency.Test cycles are reduced and placed late in the product development.
CAE-based optimization and CAE-based robustness evaluation becomes more and more important in virtual prototyping. Enteknograte engineering team use advanced algorithmic for sensitivity analysis, optimization, robustness evaluation, reliability analysis and robust design optimization.
  • Optimization is introduced into virtual prototyping
  • Robustness evaluation is the key methodology for safe, reliable and robust products
  • The combination of optimizations and robustness evaluation will lead to robust design optimization strategies

Sensitivity analysis

Sensitivity analysis scans the design/random space and measures the sensitivity of the inputs with statistical measures. Application as pre-investigation of an optimization procedure or as part of an uncertainty analysis. Results of a global sensitivity study are:
  • Sensitivities of inputs with respect to important responses
  • Estimate the variation of responses
  • Estimate the noise of an underlying numerical model
  • Better understanding and verification of dependencies between input and response variation

Design of Experiments (DOE):

  • Central Composite
  • Data File
  • Full Factorial
  • Fractional-Factorial
  • Box-Behnken
  • Latin Hypercube
  • Optimal Latin Hypercube
  • Orthogonal Array
  • Dependent Variable Sampling and Parameter Study
Design of Experiments (DOE) Central Composite Data File Full Factorial Fractional-Factorial Box-Behnken Latin Hypercube Optimal Latin Hypercube Orthogonal Array Dependent Variable Sampling

Optimization Algorithms : 

  • Gradient:NLPQL, MMFD
  • LSGRG2
  • Pattern: Hooke-Jeeves, Downhill Simplex, Adaptive Simulated Annealing
  • Mixed Integer/Real: MISQP, MOST
  • Genetic Algorithms: Evolution, Multi-Island GA
  • Multi-Objective: AMGA, NSGA II, NCGA, Particle Swarm
  • Other: Stress-Ratio Method, Pointer I & II Automatic Optimizer, Multi-objective approximation Loop
Optimization Algorithms Gradient NLPQL MMFD LSGRG2 Pattern Hooke-Jeeves Downhill Simplex Adaptive Simulated Annealing Mixed Integer Real MISQP MOST Genetic Algorithms Evolution Multi-Island GA Multi-Objective AMGA NSGA NCGA Particle Swarm Other Stress-Ratio Method Pointer Automatic Optimizer Multi-objective approximation Loop
Response surface modeling (RSM) Orthogonal polynomial models Radial or Ellliptic Basis Function methods Shape functions and smoothing Kriging method with Exponential, Gaussian and Matern correlation functions

Response surface modeling (RSM)

  • Orthogonal polynomial models
  • Radial or Ellliptic Basis Function methods
  • Shape functions and smoothing
  • Kriging method with Exponential, Gaussian and Matern correlation functions

Monte Carlo Analysis

  • Simple random sampling
  • Descriptive sampling
  • Eight standard distributions
  • Distribution truncation
Monte Carlo Analysis

Six Sigma

Probabilistic analysis to measure the quality of a design given uncertainty or randomness of a product or process

  • Perform reliability analysis with the mean value method, FORM and SORM reliability method
  • Importance sampling
  • Sobol sampling
  • DOE sample
  • Monte Carlo Analysis

Taguchi Method

Improve the quality of a product or process by striving to achieve performance targets and minimizing performance variation

  • Taguchi analysis for static, dynamic, and dynamic-standardized system types

WE WORK WITH YOU

We pride ourselves on empowering each client to overcome the challenges of their most demanding projects.

Enteknograte offers a Virtual Engineering approach with FEA tools such as MSC Softwrae(Simufact, Digimat, Nastran, MSC APEX, Actran Acoustic solver), ABAQUS, Ansys, and LS-Dyna, encompassing the accurate prediction of in-service loads, the performance evaluation, and the integrity assessment including the influence of manufacturing the components.

Acoustics and Vibration Simulation

FEA & CFD for AeroAcoustics, VibroAcoustics and NVH Analysis in Automotive, Aerospace, Shipbuilding and Consumer Product Manufacturers.
The need to reduce noise and vibration can arise because of government legislation, new lightweight constructions, use of lower cost materials, fatigue failure or increased competitive pressure. With deep knowledge in FEA, CFD and Acoustic simulation, advanced Acoustic solvers and numerical methods used by Enteknograte engineers to solve acoustics, vibro-acoustics, and aero-acoustics problems in automotive manufacturers and suppliers, aerospace companies, shipbuilding industries and consumer product manufacturers.
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Finite Element Simulation of Heat Treatment

In principle, there are two kinds of heat treatment processes: processes resulting in a thorough change of the microstructure and processes that result in merely changing regions close to the surface of the component. Examples of the former would be thermal processes, such as annealing and hardening. Examples of the latter, thermochemical processes, would be diffusion and coating processes, such as carburization, case hardening, nitrating, boriding.
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Heat Transfer and Thermal Analysis: Fluid-Structure Interaction with Coupled CFD and Finite Element Based Simulation

We analyze system-level thermal management of vehicle component, including underhood, underbody and brake systems, and design for heat shields, electronics cooling, HVAC, hybrid systems and human thermal comfort. Our Finite Element (LS-Dyna, Ansys, Abaqus) and CFD simulation (Siemens Start-ccm+, Ansys Fluent , Ansys CFX and OpenFoam) for heat transfer analysis, thermal management, and virtual test process can save time and money in the design and development process, while also improving the thermal comfort and overall quality of the final product.
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NVH & Acoustics for Hybrid & Electric Vehicles

In NVH Engineering and simulation of Hybrid/Electric Vehicles, the noise from tire, wind or auxiliaries, which consequently become increasingly audible due to the removal of the broadband engine masking sound, should be studied. New noise sources like tonal sounds emerge from the electro-mechanical drive systems and often have, despite their low overall noise levels, a high annoyance rating. Engine/exhaust sounds are often used to contribute to the “character” of the vehicle leads to an open question how to realize an appealing brand sound with EV.
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Full Vehicle MultiBody Dynamics Simulation: Car Ride, Driveline, Engine and Tire MBD

With MultiBody Dynamic Simulation, you can perform various analyses on the vehicle to test the design of the different subsystems and see how they influence the overall vehicle dynamics. This includes both on- and off-road vehicles such as cars, trucks, motorcycles, buses, and land machinery. Typical full vehicle analysis includes handling, ride, driveline, comfort, and NVH. Automotive models are also used for Realtime applications (HiL, SiL, and MiL). We can also examine the influence of component modifications, including changes in spring rates, damper rates, bushing rates, and anti-roll bar rates, on the vehicle dynamics.
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Multibody Dynamics & NVH (Noise, vibration, and harshness)

Noise, vibration, and harshness (NVH) are critical factors in the performance of many mechanical designs but designing for optimum NVH can be difficult. While strength and durability limits are being pushed further and further, requirements for noise reduction are becoming more stringent. In addition, focus is increasingly being placed on transmission and powertrain noise because other sources could be reduced meanwhile.
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Noise, Vibration & Harshness – NVH for Electric Motors

To optimize for NVH, our engineers use the forces from the EM analysis to perform advanced vibro-acoustic simulations. The forces are mapped to evaluate the structural dynamics response of the motor. Modal and harmonic stress coupling responses are important for simulating the NVH of an electric motor and for proper vibro-acoustic design of electric vehicles (EVs). The harmonic analyses generate absolute magnitudes of vibrations and waterfall diagrams to get a complete picture of the motor’s acoustic profile.
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Electric Motors Cooling

Coupled Electromagnetic Solver with Finite Element & CFD Based Multiphysics simulation
Our FEA and CFD based multiphysics simulation design provides electronics cooling simulation products for chip, package and board thermal analysis as well as thermo-mechanical stress analysis. Multiphysics simulation tools help our customers to enhance reliability of the entire electronic system by managing excessive heat that can otherwise lead to increasing leakage and electromigration failure. Electric motors cooling becomes critical as we want to move to higher power, high-efficiency equipment.
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Electromagnetic Multiphysics

FEA & CFD Based Simulation Including Thermal Stress, Fatigue, and Noise, Vibration & Harshness – NVH for Electric Motors
Enteknograte Finite Element Electromagnetic Field simulation solution which uses the highly accurate finite element solvers and methods such as Ansys Maxwell, Simulia Opera, Simulia CST, JMAG, Cedrat FLUX, Siemens MAGNET and COMSOL to solve static, frequency-domain, and time-varying electromagnetic and electric fields includes a wide range of solution types for a complete design flow for your electromagnetic and electromechanical devices in different industries.
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Integrated Artificial Intelligence (AI) & Machine Learning - Deep Learning with CFD & FEA Simulation

Machine learning is a method of data analysis that automates analytical model building. It is a branch of Artificial Intelligence based on the idea that systems can learn from data, identify patterns and make decisions with minimal human intervention. With Artificial Intelligence (AI) applications in CAE, that is Mechanical Engineering and FEA and CFD Simulations as design tools, our CAE engineers evaluate the possible changes (and limits) coming from Machine learning, whether Deep Learning (DL), or Support vector machine (SVM) or even Genetic algorithms to specify definitive influence in some optimization problems and the solution of complex systems.
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Audio Device Design: Acoustic simulation for Sound Quality Analysis in Consumer Electronic Devices

When designing an audio device, the most important thing for an engineer to consider is the quality of the sound. From loudspeakers to headsets, from hearing-aid devices to digital cameras the sound quality is of primary importance and shall be carefully evaluated while designing such applications. A set of predictive numerical tools are thus needed to efficiently design consumer audio appliance. Enteknograte engineering team provides predictive simulation consultant and models to assess the vibro-acoustic performance of audio devices such as loudspeakers or headsets.
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AeroAcoustics and VibroAcoustics in Automotive Industry

Even low noise levels can significantly degrade the comfort for the user. AeroAcoustics help us to predict and understand how to design quiet workplaces, quiet car and aircraft interiors, or silent electronic devices. In the next level, in order to study the interaction of structural vibration with the adjacent fluid, it is necessary to model the acoustic behavior of the involved structural components and VibroAcoustics aspects.
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Finite Element Analysis of Durability and Fatigue Life

Vibration Fatigue, Creep, Welded Structures Fatigue, Elastomer and Composite Fatigue with Ansys Ncode, Simulia FE-Safe, MSC CAEFatigue, FEMFAT
Durability often dominates development agendas, and empirical evaluation is by its nature time-consuming and costly. Simulation provides a strategic approach to managing risk and cost by enabling design concepts or design changes to be studied before investment in physical evaluation. The industry-leading fatigue Simulation technology such as Simulia FE-SAFE, Ansys Ncode Design Life and FEMFAT used to calculate fatigue life of multiaxial, welds, short-fibre composite, vibration, crack growth, thermo-mechanical fatigue.
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Vibration Fatigue Finite Element Simulation: Time & Frequency Domain

Structural vibration can be a source for many product related problems; it can cause fatigue and durability problems as well as adverse reactions to the user or bystanders in the form of undesirable vibrations that can be felt or heard. As well, undesired structural vibrations can prevent products from operating as required and potentially becoming a safety concern. The Vibration Fatigue simulation predict fatigue in the frequency domain and it is more realistic and efficient than time-domain analysis for many applications with random loading such as wind and wave loads.
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Casting: Finite Element and CFD Simulation Based Design

Using Sophisticated FEA and CFD technologies, Enteknograte Engineers can predict deformations and residual stresses and can also address more specific processes like investment casting, semi-solid modeling, core blowing, centrifugal casting, Gravity Casting (Sand / Permanent Mold / Tilt Pouring), Low Pressure Die Casting (LPDC), High Pressure Die Casting (HPDC), Centrifugal Casting and the continuous casting process. The metal casting simulation using FEA and CFD based technologies, enable us to address residual stresses, part distortion, microstructure, mechanical properties and defect detection.
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Additive Manufacturing and 3D Printing

FEA Based Design and Optimization with Simufact, Abaqus, ANSYS and MSC Apex for powder bed fusion (PBF), directed energy deposition (DED) and binder jetting processes
With additive manufacturing, the design is not constrained by traditional manufacturing requirements and specific number of design parameters. Nonparametric optimization with new technologies such as Artificial Intelligence in coupled with Finite Element method, can be used to produce functional designs with the least amount of material. Additive manufacturing simulations are key in assessing a finished part’s quality. Here at Eneteknograte, dependent of the problem detail, we use advanced tools such as MSC Apex Generative Design, Simufact Additive, Digimat, Abaqus and Ansys.
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Finite Element Welding Simulation: RSW, FSW, Arc, Electron and Laser Beam Welding

Enteknograte engineers simulate the Welding with innovative CAE and virtual prototyping available in the non-linear structural codes such as LS-DYNA, Ansys, Comsol, Simufact Welding, ESI SysWeld and ABAQUS. The Finite element analysis of welding include Arc Welding, laser Beam Welding, RSW, FSW and transfer the results of welding simulation for next simulation like NVH, Crash test, Tension, Compression and shear test and fatigue simulation. We can develop special purpose user subroutine (UMAT) based on clients need to empower simulation environment to overcome any complicated problem in heat load condition, phase change and user defined material constitutive equation.
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Seat Design: Finite Element and CFD Simulation for Static & Dynamic Comfort, Whiplash, Acoustic & Thermal Comfort, Crash Test

Simulation Based Design can help us to ensure the right occupant posture, which is essential for safety, Static and Dynamic Comfort, for example by predicting the H-Point and incorporating whiplash, thermal and Acoustic comfort simulation. The ability to predict the comfort of innovative seat designs using simulation tools, a library of human models with our team experience in CFD (Siemens Start-ccm+, Ansys Fluent and OpenFoam) and FEA (Ansys LS-DYNA, Simulia Abaqus, ESI Pam-Crash and Altair RADIOSS) simulation software with integrated Artificial Intelligence and Machine Learning for innovative design, can help manufacturers to create seats that provide a superior driving experience for their customers.
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Hydrodynamics CFD simulation, Coupled with FEA for FSI Analysis of Marine and offshore structures

Transient Resistance, Propulsion, Sea-Keeping and Maneuvering Simulation, Cavitation, Vibration and Fatigue
Hydrodynamics is a common application of CFD and a main core of Enteknograte expertise for ship, boat, yacht, marine and offshore structures simulation based design. Coupling Hydrodynamic CFD Simulation in Ansys Fluent, Siemens Star-ccm+ and MSC Cradle with structural finite element solver such as Abaqus and Ansys, enable us to Simulate most complicated industrial problem such as Cavitation, Vibration and Fatigue induced by hydrodynamics fluctuation, Transient Resistance, Propulsion, Sea-Keeping and Maneuvering Simulation, considering two way FSI (Fluid Structure Interaction) coupling technology.
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Metal Forming Simulation: FEA Based Design and Optimization

Using advanced Metal Forming Simulation methodology and FEA tools such as Ansys, Simufact Forming, Autoform, FTI Forming, Ls-dyna and Abaqus for any bulk material forming deformation, combining with experience and development have made Enteknograte the most reliable consultant partner for large material deformation simulation: Closed die forging Open die forging processes such as cogging, saddling, and other GFM, processes Rolling for long products, Extrusion, Ring Rolling, Cross Wedge Rolling and Reducer Rolling for pre-forming Cold forming, Sheet metal forming.
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CFD and FEA in Civil Engineering: Seismic Design, Earthquake, Tunnel, Dam, Concrete Structures and Geotechnical Multiphysics Simulation

Enteknograte, offer a wide range of consulting services based on many years of experience using FEA and CFD: Coupled/Multiphysics problems: mechanics of porous media, spalling of concrete, freezing of ground and young hardening concrete Borehole stability problems Constitutive modeling of concrete Settlement damage on concrete and masonry constructions Pipelines, Earthquake analysis, Tunnel, Dam and Geotechnical Multiphysics Simulation.
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Marine and Shipbuilding Industry: Finite Element and CFD Based Simulation and Design

Our experience in Marine and Shipbuilding Industry include: Fatigue assessment studies, Modal and vibration analyses, Seakeeping and seaworthiness assessment, Maneuvering studies, Simulation and evaluation of systems, Damage surveys and investigations, Tie-down structural calculations and approval, Collision Investigation, modeling and analysis, Optimizing the Hydrodynamic Performance of Hull, Cavitation, Marine Vibro-Acoustic, Dynamic Integrity.
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In Silico Medical & Biomedical Device Testing: Finite Element & CFD Simulation and Design, Considering FDA & ASME V&V 40

Enteknograte Biomedical Engineers use FEA and CFD for simulating: Orthopedic products, Medical fasteners, Ocular modeling, Soft tissue simulation, Packaging, Electronic systems, Virtual biomechanics, Knee replacement, Human modeling, Soft tissue and joint modeling, Hospital equipment, Laser bonding, Ablation catheters, Dental implants, Mechanical connectors, Prosthetics, Pacemakers, Vascular implants, Defibrillators, Heart valve replacements.
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FEA and CFD Simulation for Aerospace Structures: Aerodynamics, Acoustics, Fatigue and Vibration, Thermal Analysis, Crash & Impact

Enteknograte provides a complete solution for aero-structure that addresses multi-disciplinary domains and engineering challenges combining CFD-FEA and 1D-3D multi-objective modeling: Complete wing simulation Dedicated composite simulation for aircraft: designing, analyzing and optimizing Composite material structure, Liquid Composite Molding, composite forming simulation for doors, wings, tails, Horizontal & vertical tailplane simulation, Moving part aerodynamics simulation, Nacelle aerodynamics simulation, Fatigue simulation of components: random vibro-acoustic loading, stress corrosion analysis and visualization
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