Two primary phenomena complicate the control and stability of these vehicles. The first is , where the vehicle bends like a long spring. This bending creates oscillations that can interact negatively with the rocket's guidance and control system. The second, and more dangerous, is the Pogo effect —a self-excited, longitudinal oscillation caused by the coupling between engine thrust variations and the vehicle’s structural vibration. If unmitigated, these oscillations can lead to structural failure or astronaut injury. Textbooks and technical PDFs on the subject emphasize that ignoring these flexible modes in the design phase is an invitation to catastrophe.
A typical simulation might include 10–20 elastic modes, including: dynamics and simulation of flexible rockets pdf