The combination of selective laser melting (SLM) and shape memory effect (SME) of shape memory alloys (SMA) enables to design and manufacture reusable energy-absorbing structures with complex geometry. Meanwhile, the material properties of SMA result in a design constraint that the local strain in energy-absorbing structures cannot exceed the certain limit, so the problem of maximizing the overall structure's energy absorption while limitation of local recoverable strain needs to be addressed. This study proposes a non-concurrent honeycomb structure (NHS) with curved substructures. By effectively controlling the local material's strain level, NHS maximizes specific energy absorption (SEA) while utilizing SMA recoverability for reusable energy absorption. The quasi-static compression and impact tests were progressively tested and analyzed to investigate the energy absorption characteristics, shape recovery laws, and influence of failure strain of NHS. The experimental results combined with parametric analysis demonstrate that NHS can effectively control the local strain, and the shape recovery rate after five cycles of compression-heating recovery is above 90 %. Despite the presence of localized fractures, the impact sample can still exhibit a high level of shape recovery rate at a higher structural compression ratio. Furthermore, NHS demonstrate a 38.066 % higher SEA compared to conventional honeycomb (CH).