In 1982, Didier de Radiguès rode a Chevallier-designed bike to victory in the 350cc Yugoslavian Grand Prix and finished the season in second place in the F.I.M. 350cc world championship.
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During the 1970s and 1980s, Chevallier designed and built road racing motorcycles using Yamaha engines and campaigned them in the Grand Prix world championships.
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In 2000, Chevallier helped design motorcycles for a new French company named Voxan.
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Chevallier would move up to the premier 500cc class in 1984, building a race bike using Honda's NS500 engine.
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