A novel standing wave linear ultrasonic motor with a single source of sinusoidal wave is presented for exciting first-order longitudinal and second-order bending coupling working modes. First, on the basis of a kinematics analysis of the composite piezoelectric beam, the initial motor structure size is created, and the frequency difference of the two working modes of the motor with the initial sizes is 10,950.8 Hz. Second, the initial motor design is optimized according to the subproblem approximation algorithm to obtain the final motor size. The frequency difference in the optimized motor becomes 121.2 Hz. Third, transient analysis of the optimized motor is carried out, and the motion trajectory of the driving foot is an oblique ellipse. Switching the drive electrodes can realize the bidirectional movement of the motor. Finally, the motor prototype is fabricated, and its vibration characteristics and mechanical properties are tested. The maximum no-load motor speed at 96.6 kHz is 168.5 mm/s. The performance in the forward and backward directions is identical according to a test of no-load velocity versus voltage. With 150 V pp voltage and 10 N preload, the motor's maximum output thrust is approximately 0.9 N with a moving speed of 16.6 mm/s at 96.6 kHz. The overall motor mass is approximately 3.4 g. Thus, the thrust-to-weight ratio reaches 27.01.