In science and engineering, it’s unusual for innovation to come in one fell swoop. It’s more often a painstaking plod through which the extraordinary gradually becomes ordinary.

But we may be at an inflection point along that path when it comes to engineered structures whose mechanical properties are unlike anything seen before in nature, also known as mechanical metamaterials. A team led by researchers at the University of Michigan and the Air Force Research Laboratory, or AFRL, have shown how to 3D print intricate tubes that can use their complex structure to stymy vibrations.

Such structures could be useful in a variety of applications where people want to dampen vibrations, including transportation, civil engineering and more. The team’s new study, published in the journal Physical Review Applied, builds on decades of theoretical and computational research to create structures that passively impede vibrations trying to move from one end to the other.

“That’s where the real novelty is. We have the realization: We can actually make these things,” said James McInerney, a research associate at the AFRL. McInerney was previously a postdoctoral fellow at U-M working with Xiaoming Mao, a professor of physics, who is also an author of the new study.

“We’re optimistic these can be applied for good purposes. In this case, it’s vibration isolation,” McInerney said.

The work was federally funded in part by the Defense Advanced Research Projects Agency, or DARPA and the Office of Naval Research. This work was also part of a U.S. National Research Council Research Associateship Program, administered by the National Academies of Sciences, Engineering and Medicine.

Serife Tol, U-M associate professor of mechanical engineering, also contributed to the study, as did Othman Oudghiri-Idrissi of the University of Texas and Carson Willey and Abigail Juhl of the AFRL.

“For centuries, humans have improved materials by altering their chemistry. Our work builds on the field of metamaterials, where it is geometry—rather than chemistry—that gives rise to unusual and useful properties,” Mao said. “These geometric principles can apply from the nanoscale to the macroscale, giving us extraordinary robustness.”

The vibration-isolating structures can be thought of as being built up from a repeating lattice (a) that’s then stacked into two layers (b) and wrapped into a tube (c). Image credit: J.P. McInerney et al. Phys. Rev. Appl. 2025 (DOI: 10.1103/xn86-676c)

Structural foundations

The new study is a melding of old-school structural engineering, relatively new physics and advanced fabrication technologies, like 3D printing, that are becoming increasingly impressive, McInerney said.

“There’s a real probability that we’re going to be able to manufacture materials from the ground up with crazy precision,” he said. “The vision is that we’re going to be able to create very specifically architectured materials and the question we’re asking is, ‘What can we do with that? How can we create new materials that are different from what we’re used to using?'”

As Mao said, though, the team isn’t tinkering with the chemistry or molecular composition of the materials. The researchers are investigating how they can use precise control of the shape of an arbitrary building material to elicit new and beneficial properties.

Human bones and plankton “shells,” for example, take advantage of this strategy in nature. They’re built with complex geometries to get more than you might expect out of the substances they’re made from. With tools like 3D printing, researchers can now apply that strategy to metals, polymers and other materials to engineer sought-after properties that haven’t been attainable previously.

“The idea isn’t that we’re going to replace steel and plastics, but use them more effectively,” McInerney said.

New-school meets old-school

While this work does rely on modern innovations, it has important historical underpinnings. For one, there’s the work of the famous 19th century physicist, James Clerk Maxwell. Although he’s best known for his work in electromagnetism and thermodynamics, he also dabbled in mechanics and developed useful design considerations for creating stable structures with repeating subunits called Maxwell lattices, McInerney said.

Another key concept behind the new study emerged in the latter half of the 20th century, as physicists found that interesting and perplexing behaviors emerged near the edges and boundaries of materials. This led to a new field of study, known as topology, that’s still very active and working to explain these behaviors and to help capitalize on them in the real world.

Please continue reading this article on the U-M Michigan News website.

More Information:
Professor Xiaoming Mao
Research Associate at the AFRL James McInerney

Study: Topological polarization of kagome tubes and applications towards vibration isolation (DOI: 10.1103/xn86-676c)