Abstract
This paper mainly studies to explore a three-dimensional geometric model including three modules of a sandcastle foundation with optimal stability. Firstly, based on the knowledge of streamline structure, structural mechanics, and fluid mechanics, the most stable sand pile foundation model under the action of tidal current and wave is established. Secondly, by limiting the degree of allowable aggregation, the discrete global optimization algorithm based on the continuous descent method is adopted to find out the optimal water-sand ratio. Finally, we apply the above results to verify the reliability of the optimal model by comprehensively considering the influence of rainfall factors on sandcastles.
Highlights
Playing is the nature of humans, but it is not easy to come to a kind of inspiration while playing. ere are castles of various shapes on the beach; how to make our castles more durable is a question that most people are curious about.ere are numerous factors which influence the firmness of sandcastles [1], such as sand-to-water mixture proportion, the type of sand, weather, etc
Based on the streamlined structure and the knowledge of structural mechanics and fluid mechanics, the most stable sand pile foundation model under the action of tides and waves is established. e water-sand ratio is limited to a reasonable range by limiting the degree of allowable polymerization
In order to solve the problem, we make assumptions as follows: (i) it is assumed that, in the process of natural erosion, one should ignore the situation of huge waves and winds sweeping the sandcastle far from the original location. (ii) It is assumed that there is no significant difference in the sand quality of our sandcastle foundation. (iii) It is assumed that there is negligible chemical erosion of sandcastle foundations. (iv) ere are no unexpected factors affecting our assessment during the study period
Summary
Playing is the nature of humans, but it is not easy to come to a kind of inspiration while playing. ere are castles of various shapes on the beach; how to make our castles more durable is a question that most people are curious about. After consulting a lot of literature, we carefully selected the parameters of the model. In this way, we can make our model as close to reality as possible [2]. Based on the streamlined structure and the knowledge of structural mechanics and fluid mechanics, the most stable sand pile foundation model under the action of tides and waves is established. E discrete global optimization algorithm based on successive descent method was used to efficiently find the optimal water-sand mix ratio [3]. Rough the calculation and analysis of the model, it is found that the sandcastle with streamlined structure is still the most durable, which proves the reliability of the model We divide the impact of rain on sandcastles into two parts: scour and infiltration. rough the calculation and analysis of the model, it is found that the sandcastle with streamlined structure is still the most durable, which proves the reliability of the model
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