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Mathematical Design Engineering Lab
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The lab studies design engineering, using computers to automatically find the optimal shape of objects.
AboutAbout the lab
Driving innovation in manufacturing with mathematics and information science
The Mathematical Design Engineering Lab uses mathematics and information science to study design engineering built on the foundation of mechanics.
It is no exaggeration to say that an object's performance is determined by its shape: simply refining the shape can increase strength or give rise to new functions.
The lab aims to realize and advance "optimal shape design," in which computers automatically search for the optimal shape for each object.
Lab visits are accepted at any time, and the lab also welcomes applicants to graduate school from other departments and other universities.
Key terms
- Topology optimization
- A method that uses computers to find the optimal structure by changing not only shape and size but also the number of holes and the way members are connected
- Metamaterial
- An artificial material whose fine internal structure is engineered to give it special properties not found in natural materials
- Poisson's ratio
- A value that expresses how much a material contracts in the transverse direction when it is stretched. A material with a negative value expands sideways when stretched
- Link mechanism
- A mechanism that connects bars (links) with joints to transmit motion and force
NewsLab news
Paper published in Applied Mathematical Modelling
Paper published in Composite Structures
A doctoral student received a presentation award at the international conference APCOM-ACCM
A master's student received the Miura Award from the Japan Society of Mechanical Engineers
A master's student received the Graduate School of Engineering Dean's Award (Excellence)
ResearchResearch themes
The lab's research centers on "topology optimization," which uses computers to automatically determine the optimal shape of a structure based on mechanical principles. It also works on the automatic design of mechanisms, the design of materials with special properties, and the development of design methods that take real manufacturing conditions into account.
*Illustrative imageTopology Optimization of Link Mechanisms
The lab developed a mathematical model to represent link mechanisms, making it possible to automatically design the shapes and arrangement of joints and links.
*Illustrative imageMaterials with Negative Poisson's Ratio and Negative Thermal Expansion
This research concerns metamaterials, which are artificial materials with properties not found in natural materials. The lab designs the structures of materials that also expand sideways when stretched and of materials that shrink when heated.
*Illustrative imageOptimization for Ease of Assembly
The lab is developing topology optimization methods that take production and assembly conditions into account. With the requirement that parts can be assembled and disassembled, it designs shapes that maximize performance after assembly.
*Illustrative imageDesign of Acoustic Metamaterials
The lab creates metamaterials with unprecedented functions, targeting sound and vibration waves, heat, and flow. It performs topology optimization using analysis methods that can evaluate performance efficiently.
MembersFaculty
The members of the Mathematical Design Engineering Lab consist of faculty, project researchers, international research fellows, visiting researchers, secretaries, doctoral, master's, and undergraduate students, and exchange students.As of 2026
- Associate ProfessorTakayuki YamadaPublications ↗
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Fluid-Structure-Interaction-Topology-Optimization-1” Chrlundg / CC BY-SA 4.0 (cropped)
- Topology Optimization of Link Mechanisms: “Four Bar Linkage Mechanism” Mahmood Lahroodi / CC BY-SA 4.0 (cropped)
- Materials with Negative Poisson's Ratio and Negative Thermal Expansion: “Meta-aux-orange” Bigspaggio18 / CC BY 4.0 (cropped)
- Optimization for Ease of Assembly: “Exploded View Drawing” GGS Inc / CC BY-SA 4.0 (cropped)
- Design of Acoustic Metamaterials: “Quiet Electric Engine V1 (QUEEN V1) Experiment (GRC-2024-C-06530)” NASA Glenn Research Center / NASA/GRC/Sara Lowthian-Hanna / Public domain (cropped)
- Related lab (Furushima Lab): “EBSD orientation map of ferrous lath martensite” Tiberio / CC BY-SA 4.0 (cropped)
- Related lab (Nakano Lab): “SIMUVEG” Ipareja / Public domain (cropped)
- Related lab (Yoshikawa Lab): “Carbon fibre weave” Christine Twigg / CC BY-SA 4.0 (cropped)
- Related lab (Tochigi Lab): “Ernst Ruska Electron Microscope - Deutsches Museum - Munich-edit” J Brew, uploaded on the English-speaking Wikipedia by en:User:Hat'nCoat. / CC BY-SA 3.0 (cropped)
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