This paper is concerned with the low-complexity passive suspension design problem, aiming at improving vehicle performance in the meanwhile maintaining simplicity in structure for passive suspensions. Two methods are employed to construct the low-complexity passive suspensions. Using the first method, the number of each element is restricted to one, and the performance for all networks with one inerter, one damper, and one spring is evaluated, where best configurations for different vehicle settings are identified. Using the second method, low-order admittance networks whose orders of admittance functions are no larger than three are utilized. Design methods are proposed by directly using the positive realness conditions imposed on the admittance functions. The effectiveness of the proposed methods is numerically demonstrated, and the comparison between these two constructing methods is conducted.

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