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A numerical solution using a strain-based quadrilateral finite element is presented to analyse static and dynamic behaviours for membrane structures. The proposed quadrilateral element which possesses two degrees of freedom (uand v) at the four corner nodes as well as at the central node is based on assumed strains. All the three components of strains have linear variation satisfying the compatibility equation. The validity of the developed element is first applied to several selected static examples. This element is further applied to analyse both free and forced vibrations.

•The PCM has a great influence on the production of hot water.•The heat storage-recovery mechanism acts as a thermal compensator.•The PCM allows the PTC to stabilizing energy output during the short time cloudy conditions.•The outlet water temperature using PCM in the concentric tube was highest.•The outlet water temperature using phase change material is about 15% higher than the simple tube.