The collaboration between the Seattle office of Arup and Boston-based artist Janet Echelman illustrates this reliance on “first principles” of engineering, as Cormac Deavy, an Arup principal, puts it. Echelman's installations, often made of woven net, respond to the forces of nature, including wind, sun, and water. Her most recently completed piece—Skies Painted with Unnumbered Sparks—was installed for about two weeks in March outside the Vancouver Convention Centre, marking the 30th anniversary of the Technology, Entertainment and Design (TED) Talks and the event's move to British Columbia from its previous home in Long Beach, California.
The work, which resembles an airborne sea anemone, ripples and undulates against the sky. It animates the public space below with its constantly changing form and an interactive feature, devised with the help of Google, that allows visitors to control its lighting with their mobile devices.
Spanning a plaza between the convention center and a hotel across the street, Unnumbered Sparks consists of a structural net made of polyethylene rope that's about 1.5 inches in diameter, and a draped net of polyester twine held together by 8,600 hand- and machine-tied knots. At 745 feet long, it is more than twice the size of any of Echelman's earlier pieces. However, Echelman maintains that bigger isn't necessarily better. “Everything is about the proportional relationship between the human body and the spatial context,” she says, adding, “It is about finding the right scale for the right place.”
Although size, in and of itself, was not one of Echelman's goals, Unnumbered Sparks turns out to be the largest prestressed rope structure in the world, according to Clayton Binkley, an Arup senior engineer. (The piece is “prestressed,” he explains, because tension has been applied to the structural net during installation in addition to the loads created by the work's own weight.) Complexities accompany this distinction, since the magnitude of the forces in the rope net are proportional to the square of the span.
Working closely with Echelman's studio, in a highly iterative process, Arup studied various aspects of the piece, such as the size and number of panels making up each section of the draped net. Echelman and her team used custom software developed for her by Autodesk, and Arup, in turn, used the data generated by the tool for its analyses, which included evaluating the distribution of stresses over both the draped net and the cover net, as well as modeling the sculpture's response to the wind. Often they would rely on algorithms that Arup developed specifically for Echelman's work.
Based on these investigations, Arup provided the artist with design parameters, including a weight limit. With such information, she could make some areas of netting more dense and others more open. The structural consideration that governed the design was actually how much wind Unnumbered Sparks would catch—a quantity dependent on the net's surface area—rather than how heavy it was. But weight provided a metric that was easier to work with than twine area was, explains Binkley.
The final sculpture weighed in at about 3,200 pounds, which included its moorings to the convention center and the hotel, devised by local engineers Glotman Simpson. These connections—five sets of eyelets and shackles for each building—tied into the existing structures' columns with steel plates and epoxy, and were designed to withstand 200,000 pounds of wind force, a load that firm principal Rob Simpson considered the “worst-case” scenario.
The anchorage details, as well as the structural net, will need to be modified if Unnumbered Sparks is installed elsewhere—a possibility that Echelman says she is exploring with several cities, both in the United States and internationally.
Wind loads were also a critical concern for Ark Nova, an inflatable and movable concert hall designed by London-based sculptor Anish Kapoor and Tokyo-based architect Arata Isozaki. First deployed for a music festival held last fall in Matsushima, Japan, the bloblike but engaging form of eggplant-colored PVC-coated polyester was conceived as a performance venue that would tour the region affected by the 2011 Tohoku earthquake and tsunami.
Mitigating the response of the roughly 500-seat hall to the wind was particularly tricky, since the 318,000-cubic-foot volume has a “toroidal” form—one that turns in on itself—creating a diagonal tube that penetrates the interior. Wind flowing through this tube accelerates and can produce suction, explains Christopher Hornzee-Jones, director of Aerotrope, a Brighton-based aeronautical and structural-engineering firm that has consulted on Kapoor's projects for more than a decade.
To counteract uplift forces, Aerotrope studied several possibilities for securing the hall, including ground anchors and water-filled containers as ballast. Hornzee-Jones preferred the latter solution, because it would be simple to transport the containers once they were emptied. But, due to concerns about the containers' performance during an earthquake, the team finally settled on a more conventional ballast system of steel plates. “We didn't have the development time to prove that it would all be okay,” he says, “though I am sure it could be done.”
According to Hornzee-Jones, the fabric itself can withstand high forces sustained for a short amount of time, such as those produced by gusts. But one concern over the long term, he says, is creep—deformation that increases over time when stress is maintained on a material. To mitigate this phenomenon, Ark Nova's inflation pressure is kept at a level adequate to maintain its form but low enough to limit the permanent stresses on the membrane.
Critical to the perception of the concert hall's shape is the articulation provided by the seams between sections of membrane fabric. These are particularly evident from the inside during the day, when sunlight shining through the skin makes it almost translucent. Aerotrope, along with Tensys, a firm that specializes in tensile structures, worked out the layout of the seams with Kapoor and Isozaki before sending the final geometry and detailed engineering studies to MakMax, the fabricator in Japan. MakMax generated the cutting files and welded the pieces together to create a single membrane with a surface area of 22,000 square feet.
Last October, after the festival in Matsushima ended, Ark Nova was deflated and folded in a packing sequence carefully worked out to avoid damage to the membrane. The resulting bundle, which Hornzee-Jones describes as “a several-ton brick,” now awaits deployment this coming fall at a yet-to-be-announced location elsewhere in the Tohoku region.
JUST BEAD IT
Not all civic-scale installations are exposed to the elements, as Ark Nova and Unnumbered Sparks were. Air Garden, a permanent piece completed last fall by Los Angeles'based design and fabrication practice Ball-Nogues Studio, is sheltered from the wind and rain. Made of thousands of stainless-steel-bead chains—the type that are often used as light pulls—the sculpture is installed inside the Tom Bradley International Terminal at the Los Angeles International Airport, extending down 95 feet below a skylight.
But even though architects Benjamin Ball and Gaston Nogues did not have to consider the impact of weather on their piece, the design process and structural analysis of Air Garden were far from straightforward. The colorful bead chains hang from six cables that in turn are suspended directly from the skylight's structural elements, an arrangement that creates difficult-to-analyze double catenaries. The almost 6,000-pound sculpture “is entirely soft in tension, like a big wet rag,” says Ball. “If you move one point, the whole thing changes.”
The result is considerably more appealing than a wet rag: Air Garden is a diaphanous veil with moir' patterns that shift depending on one's vantage point and the quality of light coming through the skylight. In order to predict these effects during design, Ball and Nogues use proprietary software created specially for them, as well as visualization tricks that help the designers cope with the resolution limitations of a computer screen. “The size of a pixel is greater than the width of a bead chain,” Ball points out.
To determine how best to attach the piece to the skylight and understand the loads and stresses in each of the bead chains and cables, Ball-Nogues worked closely with the Los Angeles office of engineering firm Buro Happold. Using a method of numerical analysis known as “dynamic relaxation,” the firm also helped the designers fine-tune Air Garden's ultimate geometry. The technique can be used to determine, for example, how much the individual bead chains will stretch due to gravity, how weight would be redistributed as a result, and how long each chain should be, explains Ron Elad, an associate principal in Buro Happold's Los Angeles office.
Elad emphasizes that even before this step, Air Garden's form was nearly set. “The architecture and design tools get very close to the final solution,” he says. What's more, the piece is the product of themes that Ball-Nogues has been exploring for several years. “They select a material and technology that they want to work with and continue to refine them, each time pushing them more and more,” says Elad. But that is what he finds so satisfying about working with Ball-Nogues and artists in general: “It is an opportunity to show the care we take to create elegant solutions,” he says.
These sentiments echo those of Aerotrope's Hornzee-Jones, who maintains that, with artwork, “it is absolutely crucial that the details all come out right, even if that means they essentially disappear.” He seems to have no qualms, however, about his efforts' being almost invisible. “It's when the engineering disappears,” he says, “that you end up with art.”