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Advanced Space–Time Topology Optimization in Multi-Axis Additive Manufacturing

Foundations of finite element analysis (FEA):
Advanced Space–Time Topology Optimization in Multi-Axis Additive Manufacturing

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Date 2 SVG Vector Icon Dates: 2nd of Dec. to 28th of Jan.

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In additive manufacturing, the sequence of fabrication significantly impacts the quality of the produced components. Traditionally, the fabrication sequence is planned after the component design is completed. However, recent advancements have shown that optimizing both the structural layout and the fabrication sequence simultaneously can yield better results. This is particularly important in multi-axis additive manufacturing, where rotational movement provides greater flexibility compared to traditional planar methods. The simultaneous optimization method, known as space-time topology optimization, uses a pseudo-time field to represent the manufacturing process order and a pseudo-density field to depict the structural layout. For the process to align with manufacturing principles, the pseudo-time field must be monotonic, meaning it should not have local minima. However, previous methods for enforcing this monotonicity are often ineffective, especially for the complex structures that arise from topology optimization.

Here, you can see the main topics of our course regarding optimization in Additive manufacturing:

1. Introduction to Additive Manufacturing (AM)

– Overview of additive manufacturing techniques

– Importance of fabrication sequence in AM

– Multi-axis vs. planar fabrication

2. Topology Optimization in AM

– Basics of topology optimization

– Conventional vs. simultaneous optimization of structure and fabrication sequence

– Benefits of simultaneous optimization

3. Space–Time Topology Optimization

– Concept and principles of space–time topology optimization

– Introduction to pseudo-time and pseudo-density fields

– Challenges in ensuring monotonic pseudo-time fields

4. Regularization of Pseudo-Time Fields

– Issues with explicitly formulated constraints in complex structural layouts

– Introduction to the novel method for regularizing pseudo-time fields

5. Virtual Heat Conduction Analogy and Optimization variables

– Conceptualizing monotonic AM processes as virtual heat conduction

– Virtual temperature field as an analogy for the fabrication sequence

– Differences between virtual temperature field and actual manufacturing temperature field

– Using local virtual heat conductivity coefficients as optimization variables

– Steering the virtual temperature field to encode the fabrication sequence

6. Ensuring Monotonicity

– How the physics of heat conduction ensures the virtual temperature field is free of local minima

– Practical implementation of this regularization approach

7. Case Studies, Validation, and Applications

– Numerical validation methods for space–time topology optimization

– Case studies involving process-dependent loads, such as gravity and thermomechanical loads

– Analysis and discussion of results

– Applications of space–time topology optimization in various industries

– Potential future research areas and technological advancements

– Practical exercises in space–time topology optimization

– Using simulation tools to apply the virtual heat conduction method

– Case studies and projects focused on optimizing real-world components

Part 1: Introduction to Additive Manufacturing (AM)

– Overview of additive manufacturing techniques

– Importance of fabrication sequence in AM

– Multi-axis vs. planar fabrication

Part 2: Topology Optimization in AM

– Basics of topology optimization

– Conventional vs. simultaneous optimization of structure and fabrication sequence

– Benefits of simultaneous optimization

Part3: Space–Time Topology Optimization

– Concept and principles of space–time topology optimization

– Introduction to pseudo-time and pseudo-density fields

– Challenges in ensuring monotonic pseudo-time fields

Part 4: Regularization of Pseudo-Time Fields

– Issues with explicitly formulated constraints in complex structural layouts

– Introduction to the novel method for regularizing pseudo-time fields

Part 5: Virtual Heat Conduction Analogy

– Conceptualizing monotonic AM processes as virtual heat conduction

– Virtual temperature field as an analogy for the fabrication sequence

– Differences between virtual temperature field and actual manufacturing temperature field

Part 6: Optimization Variables and Heat Conductivity

– Using local virtual heat conductivity coefficients as optimization variables

– Steering the virtual temperature field to encode the fabrication sequence

Part 7: Ensuring Monotonicity

– How the physics of heat conduction ensures the virtual temperature field is free of local minima

– Practical implementation of this regularization approach

Part 8: Numerical Validation and Case Studies

– Numerical validation methods for space–time topology optimization

– Case studies involving process-dependent loads, such as gravity and thermomechanical loads

– Analysis and discussion of results

Part 9: Applications and Future Directions

– Applications of space–time topology optimization in various industries

– Potential future research areas and technological advancements

Part 10: Hands-on Projects and Practical Implementation

– Practical exercises in space–time topology optimization

– Using simulation tools to apply the virtual heat conduction method

– Case studies and projects focused on optimizing real-world components

Our team of CAE Assistant instructors, renowned experts in their respective domains, will deliver each section of the course, providing you with unparalleled knowledge and insights.
Currently, the course instructor is being finalized, but we are committed to bringing you one of the leading experts in the field. We’re working diligently to ensure that a top researcher will be selected to develop and deliver this course soon.

Our courses are designed for a diverse audience that includes graduate and PhD students, R&D professionals in industry, and university faculty members. Each course is meticulously crafted based on the latest ISI papers and cutting-edge research to ensure that participants receive the most current and relevant knowledge in emerging technology topics.

Graduate and PhD Students: These courses provide advanced insights and practical applications of recent research, equipping students with the latest knowledge and methodologies to enhance their academic work and research capabilities.

R&D Employees: For professionals working in industrial research and development, our courses offer valuable updates on new trends and technologies, fostering innovation and enhancing their ability to address complex challenges in their projects.

University Faculty Members: Academics seeking to stay abreast of the latest developments will benefit from our courses by gaining access to cutting-edge research and emerging technologies, which can be integrated into their teaching and research activities.

By participating in our courses, all these groups will gain a competitive edge through up-to-date knowledge, practical skills, and insights directly derived from the forefront of scientific and technological advancements.

Finite Element Analysis course Certificate

Upon successful completion of this course, you will receive a course completion certificate. This certificate guarantees your skills with the amount of time spent, skills trained, and can be verified online.

Taking the “Advanced Space–Time Topology Optimization in Multi-Axis Additive Manufacturing” course can lead to several specialized job opportunities, including:

  1. Additive Manufacturing Engineer: Focus on optimizing fabrication sequences in multi-axis 3D printing, ensuring high-quality production of complex components across industries like aerospace, automotive, and medical devices.
  2. Topology Optimization Specialist: Develop and implement advanced optimization techniques to enhance both the structural design and manufacturing process, contributing to innovative product development and improved performance.
  3. R&D Engineer: Engage in cutting-edge research to advance space-time topology optimization methods, exploring new applications and solving challenges in additive manufacturing.
  4. Simulation Engineer: Utilize advanced simulation tools to model and validate optimized manufacturing processes, ensuring that theoretical designs translate effectively into high-quality, manufacturable products.
  5. Industrial Consultant: Provide expertise to companies in adopting and integrating advanced topology optimization techniques, helping them achieve more efficient and cost-effective manufacturing processes.
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First Session for Free!

STUDENTS

141 Participants

COURSE TYPE

On-demand video with online workshops

CONTENT

+ Workshops and Lessons

AWARDS

Certificate

COURSE LEVEL

Step by Step from Basics to Advanced

RESOURCES

Pdf, Code, Video File

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