She didn't approve of me protecing the boy from being bullied. 

Jack would have been a prominet member of the Law Society but for his mother falling ill. 

网友的这两个例句，使用了“动名词复合结构”，作介词的宾语。其中，protecing the boy from being bullied 是动名词，me 为其逻辑主语。又如：

This is a picture of some children playing on the sports ground.

some children playing on the sports ground 是动名词复合结构，或者说是带有逻辑主语的动名词短语，作 of 的宾语。

为了让网友熟悉这种句式，我举出更多的例句：

The novel is about three sisters growing up. 

这部小说是关于三姐妹如何成长的。

Can you hear the noise of the sofa being dragged? 

你能听见沙发被拖动的声音吗？

Have you heard of women playing football? 

你听说过女的踢足球吗？

I will tell you a story of a thief stealing a lady's purse.

我要给你讲一个小偷盗窃女人钱包的故事。

I have this vivid memory of them taking her to clean her off when she was born.

我清楚地记得他们在她出生时带她去清洗。

Pingyu heard the famous sound of the clock, Big Ben, ringing out the hour. 

萍玉听到了那个著名的大本钟在报时。 

Soon we heard the sound of the lorry revving up and moving off. 

不一会儿，我们听到了卡车起动和开走的声音。

I heard the sound of the car dying away. 

我听列车声逐渐远去。

I hear the sound of the ball hitting the floor. 

我听到球击打在地板上的声音。

They like the sound of pages turning. 

他们喜爱图书翻页的声音。

Is there any hope of Tom winning the game? 

汤姆有赢的希望吗？

Can you hear the noise of the sofa being dragged? 

你能听见沙发被拖动的声音吗？

I heard the noise of desks being opened and closed. 

我听到桌子被掀开和关上的声音。

It would be a case of the blind leading the blind. 

这将是盲人给瞎子引路的情况。

Whenever she thought of Tom staring at her, she felt sick. 

每当想到汤姆盯着自己看的那个样子，她就感到恶心。

We are investigating complaints from customers about goods not being properly inspected before leaving the factory.

我们正在调查有关货物在出厂前未被认真检查的客户的投诉。

Speed dating involves men and women meeting in a room and finding out as much as they can about possible partners in three minutes. men and women meeting in a room：

“快速约会”（即“速配”）就是让男人和女人在一个房间里见面，并在三分钟内尽可能找出可能成为伴侣的各种条件。

关于“动名词逻辑主语” 格的问题：

所谓“动名词复合结构”，即是“含有逻辑主语的动名词”。

为了说明动名词表示动作的施事者，需要在动名词之前加上物主代词或名词所有格，这便构成了动名词的复合结构。动名词之前的物主代词或名词所有格形式即为其逻辑主语，但有时也可用人称代词宾格或名词的普通格。

    （1）形容词性物主代词或名词所有格作逻辑主语：

    当动名词的复合结构在句子中作主语时，其逻辑主语只能用物主代词或名词所有格。

    His coming made me very happy. 他的到来使我很高兴。

    Mary's crying annoyed him. 玛丽的啼哭让他恼火。

    （2）人称代词宾格或普通格形式作逻辑主语：

    如果动名词复合结构作宾语，其逻辑主语可以用物主代词或名词所有格，也可以用人称代词宾格或名词的普通格。

    She didn’t mind his (him) crying. 她不介意他的哭。

    Is there any hope of Tom’s (Tom) winning the game? 汤姆有赢的希望吗？

    What’s troubling us is their not having done away with so many cigarette ads. 烦扰我们的是他们没有消除过多的香烟广告。

    （3）动名词的逻辑主语是无生命的东西，或虽然是有生命的东西但表示泛指意义时，只能用名词普通格。

    Can you hear the noise of the sofa being dragged? 你能听见沙发被拖动的声音吗？

    Have you heard of women playing football? 你听说过女的踢足球吗？