弹性常曲率扁壳通解的完备性和不唯一性
COMPLETENESS AND NONUNIQUENESS OF GENERAL SOLUTIONS OF ELASTIC SHALLOW SHELLS WITH CONSTANT CURVATURE
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摘要: 导出了弹性常曲率扁壳的一种新的通解,证明了它的完备性和不唯一性,著名的符拉索夫(Vlasov)解是它的特殊情形之一.论证了符拉索夫解不适用于球形扁壳,并给出了球形扁壳的新的通解Abstract: A new general solution of elastic shallow shells with constant curvature is derived its completeness and nonuniqueness are proved Famous Vlasov solution is one of its special case Furthermore it is proved that Vlasov solution does not suit for shallow spherical shells And we give a new general solution of shallow spherical shells