This paper reviewed the research on the nonlinear free vibration of pre‐stressed orthotropic membrane, which is commonly applied in building membrane structures. We applied the L‐P perturbation method to solve the governing equations of large amplitude nonlinear free vibration of rectangular orthotropic membranes and obtained a simple approximate analytical solution of the frequency and displacement function of large amplitude nonlinear free vibration of rectangular membrane with four edges simply supported. By giving computational examples, we compared and analyzed the frequency results. In addition, vibration mode of the membrane and displacement and time curve of each feature point on the membrane surface were analyzed in the computational example. Results obtained from this paper provide a simple and convenient method to calculate the frequency and lateral displacement of nonlinear free vibration of rectangular orthotropic membranes in large amplitude. Meanwhile, the results provide some theoretical basis for solving the response of membrane structures under dynamic loads and provide some computational basis for the vibration control and dynamic design of building membrane structures.

This paper studies the aerodynamic stability of a tensioned, geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid. The aerodynamic force acting on the membrane surface is determined by the potential flow theory in fluid mechanics and the thin airfoil theory in aerodynamics. The interaction governing the equation of wind-structure is established on the basis of large-amplitude theory and the D’Alembert principle. Then, under the circumstance of single-mode response, the Bubnov-Galerkin approximate method is applied to transform the complicated interaction equation into a system of second-order nonlinear differential equations with constant coefficients. Through judging the stability of the system characteristic equation, the critical velocity of divergence instability is determined. Different parameter analysis shows that the orthotropy and geometrical nonlinearity is significant for preventing destructive aerodynamic instability in membrane structures. Compared to the planar m...

The disparity between construction targets and the real needs of farmers in the construction of rural facilities is a problem that has led to a failure in meeting farmers’ demands. This paper investigates farmers’ satisfaction and the influencing factors of rural facilities through factor analysis and logit regression model. This research led to three key findings: () overall satisfaction of farmers of rural facilities is below average level; () farmers’ satisfaction is affected mainly by the horizontal comparison, road facilities, electricity and signal facilities, reconstruction of public toilets, irrigation facilities, cultural and recreational facilities, renovation of fuel and kitchen, healthy facilities, village planning and renovation, and income factor; () farmers’ needs are shifting from production to life type. This paper is the foundation of further analysis of the effects of significant factors on farmers’ satisfaction, providing a theoretical basis for the construction of “bottom-up” and “top-down” decision-making mechanism.