Nonlinear analysis is an essential tool for solving complex engineering problems that involve nonlinear behavior. Nonlinear behavior arises when the response of a structure or system is not proportional to the applied load or input. This behavior can be observed in various systems such as mechanical, electrical, and biological systems. Nonlinear analysis is used to understand and predict the behavior of these systems accurately. Linear analysis is a widely used approach in engineering that assumes that the relationship between the input and the output is linear. This means that the response of a system is proportional to the applied load. However, many engineering problems involve nonlinear behavior. For instance, the deformation of a material under high loads is nonlinear as the deformation is not proportional to the applied load. Similarly, the behavior of a nonlinear electrical component, such as a diode or a transistor, cannot be accurately modeled using linear analysis. Nonlinear ...