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By the modified iteration method, in this paper, non-symmetrical large deflection of a shallow spherical shell is discussed. We solve the second-order approximate analytical solution of the deflection of a shallow spherical shell subjected to linear liquid loads, and portray the characteristic curves of load-deflection on a perturbing point. With this paper's method, the similar questions of other kind of shell can be discussed. Through the examples, we discuss the large deflection of a plane and shallow spherical shells with different initial deflections.